what is the solution of 14=7(x-5)
Answers
Step-by-step explanation:
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How to solve your question
Your question is
1
4
=
7
(
−
5
)
14=7(x-5)
14=7(x−5)
Solve
1
Distribute
1
4
=
7
(
−
5
)
14={\color{#c92786}{7(x-5)}}
14=7(x−5)
1
4
=
7
−
3
5
14={\color{#c92786}{7x-35}}
14=7x−35
2
Add
3
5
35
35
to both sides of the equation
1
4
=
7
−
3
5
14=7x-35
14=7x−35
1
4
+
3
5
=
7
−
3
5
+
3
5
14+{\color{#c92786}{35}}=7x-35+{\color{#c92786}{35}}
14+35=7x−35+35
3
Simplify
Add the numbers
Add the numbers
again
4
9
=
7
49=7x
49=7x
4
Divide both sides of the equation by the same term
4
9
=
7
49=7x
49=7x
4
9
7
=
7
7
\frac{49}{{\color{#c92786}{7}}}=\frac{7x}{{\color{#c92786}{7}}}
749=77x
5
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
7
=
7=x
7=x
Solution
7
=
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Step-by-step explanation:
Simplifying
Simplifying7(x + -5) + 14 = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '21' to each side of the equation.
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '21' to each side of the equation.-21 + 21 + 7x = 7 + 21
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '21' to each side of the equation.-21 + 21 + 7x = 7 + 21Combine like terms: -21 + 21 = 0
Simplifying7(x + -5) + 14 = 7Reorder the terms:7(-5 + x) + 14 = 7(-5 * 7 + x * 7) + 14 = 7(-35 + 7x) + 14 = 7Reorder the terms:-35 + 14 + 7x = 7Combine like terms: -35 + 14 = -21-21 + 7x = 7Solving-21 + 7x = 7Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '21' to each side of the equation.-21 + 21 + 7x = 7 + 21Combine like terms: -21 + 21 = 00 + 7x = 7 + 21