-3x+4=5x-12

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Solution for -3x+4=5x-12 equation:


Simplifying
-3x + 4 = 5x + -12

Reorder the terms:
4 + -3x = 5x + -12

Reorder the terms:
4 + -3x = -12 + 5x

Solving
4 + -3x = -12 + 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.
4 + -3x + -5x = -12 + 5x + -5x

Combine like terms: -3x + -5x = -8x
4 + -8x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -8x = -12 + 0
4 + -8x = -12

Add '-4' to each side of the equation.
4 + -4 + -8x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -12 + -4
-8x = -12 + -4

Combine like terms: -12 + -4 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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