-2(x-4)=-3(x-8)

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Solution for -2(x-4)=-3(x-8) equation:


Simplifying
-2(x + -4) = -3(x + -8)

Reorder the terms:
-2(-4 + x) = -3(x + -8)
(-4 * -2 + x * -2) = -3(x + -8)
(8 + -2x) = -3(x + -8)

Reorder the terms:
8 + -2x = -3(-8 + x)
8 + -2x = (-8 * -3 + x * -3)
8 + -2x = (24 + -3x)

Solving
8 + -2x = 24 + -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.
8 + -2x + 3x = 24 + -3x + 3x

Combine like terms: -2x + 3x = 1x
8 + 1x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 1x = 24 + 0
8 + 1x = 24

Add '-8' to each side of the equation.
8 + -8 + 1x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 24 + -8
1x = 24 + -8

Combine like terms: 24 + -8 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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