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

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


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

Reorder the terms:
-3(-1 + 2x) + 2(x + -1) = x + 7
(-1 * -3 + 2x * -3) + 2(x + -1) = x + 7
(3 + -6x) + 2(x + -1) = x + 7

Reorder the terms:
3 + -6x + 2(-1 + x) = x + 7
3 + -6x + (-1 * 2 + x * 2) = x + 7
3 + -6x + (-2 + 2x) = x + 7

Reorder the terms:
3 + -2 + -6x + 2x = x + 7

Combine like terms: 3 + -2 = 1
1 + -6x + 2x = x + 7

Combine like terms: -6x + 2x = -4x
1 + -4x = x + 7

Reorder the terms:
1 + -4x = 7 + x

Solving
1 + -4x = 7 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
1 + -4x + -1x = 7 + x + -1x

Combine like terms: -4x + -1x = -5x
1 + -5x = 7 + x + -1x

Combine like terms: x + -1x = 0
1 + -5x = 7 + 0
1 + -5x = 7

Add '-1' to each side of the equation.
1 + -1 + -5x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 7 + -1
-5x = 7 + -1

Combine like terms: 7 + -1 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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