-3x+8=5x-12

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Solution for -3x+8=5x-12 equation:


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

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

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

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

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

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

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

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

Combine like terms: -12 + -8 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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