-3(x-4)=-5x+8

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Solution for -3(x-4)=-5x+8 equation:


Simplifying
-3(x + -4) = -5x + 8

Reorder the terms:
-3(-4 + x) = -5x + 8
(-4 * -3 + x * -3) = -5x + 8
(12 + -3x) = -5x + 8

Reorder the terms:
12 + -3x = 8 + -5x

Solving
12 + -3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
12 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
12 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 2x = 8 + 0
12 + 2x = 8

Add '-12' to each side of the equation.
12 + -12 + 2x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 8 + -12
2x = 8 + -12

Combine like terms: 8 + -12 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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