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

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


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

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

Reorder the terms:
6 + -3x = 7(-2 + -1x)
6 + -3x = (-2 * 7 + -1x * 7)
6 + -3x = (-14 + -7x)

Solving
6 + -3x = -14 + -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.
6 + -3x + 7x = -14 + -7x + 7x

Combine like terms: -3x + 7x = 4x
6 + 4x = -14 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 4x = -14 + 0
6 + 4x = -14

Add '-6' to each side of the equation.
6 + -6 + 4x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -14 + -6
4x = -14 + -6

Combine like terms: -14 + -6 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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