solve 5+ 2( x – 1) = x + 4 ( x-3)
Answers
Answer:
+
2
(
−
1
)
=
+
4
(
−
3
)
5+{\color{#c92786}{2(x-1)}}=x+4(x-3)
5+2(x−1)=x+4(x−3)
5
+
2
−
2
=
+
4
(
−
3
)
5+{\color{#c92786}{2x-2}}=x+4(x-3)
5+2x−2=x+4(x−3)
2
Subtract the numbers
5
+
2
−
2
=
+
4
(
−
3
)
{\color{#c92786}{5}}+2x{\color{#c92786}{-2}}=x+4(x-3)
5+2x−2=x+4(x−3)
3
+
2
=
+
4
(
−
3
)
{\color{#c92786}{3}}+2x=x+4(x-3)
3+2x=x+4(x−3)
3
Rearrange terms
3
+
2
=
+
4
(
−
3
)
{\color{#c92786}{3+2x}}=x+4(x-3)
3+2x=x+4(x−3)
2
+
3
=
+
4
(
−
3
)
{\color{#c92786}{2x+3}}=x+4(x-3)
2x+3=x+4(x−3)
4
Distribute
2
+
3
=
+
4
(
−
3
)
2x+3=x+{\color{#c92786}{4(x-3)}}
2x+3=x+4(x−3)
2
+
3
=
+
4
−
1
2
2x+3=x+{\color{#c92786}{4x-12}}
2x+3=x+4x−12
5
Combine like terms
2
+
3
=
+
4
−
1
2
2x+3={\color{#c92786}{x}}+{\color{#c92786}{4x}}-12
2x+3=x+4x−12
2
+
3
=
5
−
1
2
2x+3={\color{#c92786}{5x}}-12
2x+3=5x−12
6
Subtract
3
3
3
from both sides of the equation
2
+
3
=
5
−
1
2
2x+3=5x-12
2x+3=5x−12
2
+
3
−
3
=
5
−
1
2
−
3
2x+3{\color{#c92786}{-3}}=5x-12{\color{#c92786}{-3}}
2x+3−3=5x−12−3
7
Simplify
Subtract the numbers
Subtract the numbers
2
=
5
−
1
5
2x=5x-15
2x=5x−15
8
Subtract
5
5x
5x
from both sides of the equation
2
=
5
−
1
5
2x=5x-15
2x=5x−15
2
−
5
=
5
−
1
5
−
5
2x{\color{#c92786}{-5x}}=5x-15{\color{#c92786}{-5x}}
2x−5x=5x−15−5x
9
Simplify
Combine like terms
Combine like terms
−
3
=
−
1
5
-3x=-15
−3x=−15
10
Divide both sides of the equation by the same term
−
3
=
−
1
5
-3x=-15
−3x=−15
−
3
−
3
=
−
1
5
−
3
\frac{-3x}{{\color{#c92786}{-3}}}=\frac{-15}{{\color{#c92786}{-3}}}
−3−3x=−3−15
11
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
x=5
x=5
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Solution
=
5
Step-by-step explanation:
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Answer:
5+ 2( x – 1) = x + 4 ( x-3)
or, 5x-5+2x-2=x^2-3x+4x-3x
or,7x-7=x^2-6x+4x
or, 7(x-1)=x^2-2x