-2(6x-8)=-7(x+2)

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Solution for -2(6x-8)=-7(x+2) equation: 


Simplifying
-2(6x + -8) = -7(x + 2)

Reorder the terms:
-2(-8 + 6x) = -7(x + 2)
(-8 * -2 + 6x * -2) = -7(x + 2)
(16 + -12x) = -7(x + 2)

Reorder the terms:
16 + -12x = -7(2 + x)
16 + -12x = (2 * -7 + x * -7)
16 + -12x = (-14 + -7x)

Solving
16 + -12x = -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.
16 + -12x + 7x = -14 + -7x + 7x

Combine like terms: -12x + 7x = -5x
16 + -5x = -14 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + -5x = -14 + 0
16 + -5x = -14

Add '-16' to each side of the equation.
16 + -16 + -5x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -14 + -16
-5x = -14 + -16

Combine like terms: -14 + -16 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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