5x+5=8x-12

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


Simplifying
5x + 5 = 8x + -12

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

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

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

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

Combine like terms: 8x + -8x = 0
5 + -3x = -12 + 0
5 + -3x = -12

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

Combine like terms: 5 + -5 = 0
0 + -3x = -12 + -5
-3x = -12 + -5

Combine like terms: -12 + -5 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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