5(2x-2)=3(x-1)+7

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Solution for 5(2x-2)=3(x-1)+7 equation:


Simplifying
5(2x + -2) = 3(x + -1) + 7

Reorder the terms:
5(-2 + 2x) = 3(x + -1) + 7
(-2 * 5 + 2x * 5) = 3(x + -1) + 7
(-10 + 10x) = 3(x + -1) + 7

Reorder the terms:
-10 + 10x = 3(-1 + x) + 7
-10 + 10x = (-1 * 3 + x * 3) + 7
-10 + 10x = (-3 + 3x) + 7

Reorder the terms:
-10 + 10x = -3 + 7 + 3x

Combine like terms: -3 + 7 = 4
-10 + 10x = 4 + 3x

Solving
-10 + 10x = 4 + 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.
-10 + 10x + -3x = 4 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-10 + 7x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 7x = 4 + 0
-10 + 7x = 4

Add '10' to each side of the equation.
-10 + 10 + 7x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 4 + 10
7x = 4 + 10

Combine like terms: 4 + 10 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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