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

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


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

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

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

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

Combine like terms: 6 + 2 = 8
8 + -3x + -3x = -7x

Combine like terms: -3x + -3x = -6x
8 + -6x = -7x

Solving
8 + -6x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + -6x + 7x = -7x + 7x

Combine like terms: -6x + 7x = 1x
8 + 1x = -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 1x = 0

Add '-8' to each side of the equation.
8 + -8 + 1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 0 + -8
1x = 0 + -8

Combine like terms: 0 + -8 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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