2x+3(3x-7)=19 equation
Answers
Answer:
1
Distribute
2
+
3
(
3
−
7
)
=
1
9
2x+{\color{#c92786}{3(3x-7)}}=19
2x+3(3x−7)=19
2
+
9
−
2
1
=
1
9
2x+{\color{#c92786}{9x-21}}=19
2x+9x−21=19
2
Combine like terms
2
+
9
−
2
1
=
1
9
{\color{#c92786}{2x}}+{\color{#c92786}{9x}}-21=19
2x+9x−21=19
1
1
−
2
1
=
1
9
{\color{#c92786}{11x}}-21=19
11x−21=19
3
Add
2
1
21
21
to both sides of the equation
1
1
−
2
1
=
1
9
11x-21=19
11x−21=19
1
1
−
2
1
+
2
1
=
1
9
+
2
1
11x-21+{\color{#c92786}{21}}=19+{\color{#c92786}{21}}
11x−21+21=19+21
4
Simplify
Add the numbers
Add the numbers
1
1
=
4
0
11x=40
11x=40
5
Divide both sides of the equation by the same term
1
1
=
4
0
11x=40
11x=40
1
1
1
1
=
4
0
1
1
\frac{11x}{{\color{#c92786}{11}}}=\frac{40}{{\color{#c92786}{11}}}
1111x=1140
6
Simplify
Cancel terms that are in both the numerator and denominator
=
4
0
1
1
x=\frac{40}{11}
x=1140
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Solution
=
4
0
1
1
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Answer:
Simplifying
2x + -3 = -3x + 19
Reorder the terms:
-3 + 2x = -3x + 19
Reorder the terms:
-3 + 2x = 19 + -3x
Solving
-3 + 2x = 19 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-3 + 2x + 3x = 19 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-3 + 5x = 19 + -3x + 3x
Combine like terms: -3x + 3x = 0
-3 + 5x = 19 + 0
-3 + 5x = 19
Add '3' to each side of the equation.
-3 + 3 + 5x = 19 + 3
Combine like terms: -3 + 3 = 0
0 + 5x = 19 + 3
5x = 19 + 3
Combine like terms: 19 + 3 = 22
5x = 22
Divide each side by '5'.
x = 4.4
Simplifying
x = 4.4
Step-by-step explanation:
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