5x+12=8x-8

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


Simplifying
5x + 12 = 8x + -8

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

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

Solving
12 + 5x = -8 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
12 + -3x = -8 + 0
12 + -3x = -8

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

Combine like terms: 12 + -12 = 0
0 + -3x = -8 + -12
-3x = -8 + -12

Combine like terms: -8 + -12 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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