8x+12=5x-10

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Solution for 8x+12=5x-10 equation:


Simplifying
8x + 12 = 5x + -10

Reorder the terms:
12 + 8x = 5x + -10

Reorder the terms:
12 + 8x = -10 + 5x

Solving
12 + 8x = -10 + 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 + 8x + -5x = -10 + 5x + -5x

Combine like terms: 8x + -5x = 3x
12 + 3x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 3x = -10 + 0
12 + 3x = -10

Add '-12' to each side of the equation.
12 + -12 + 3x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -10 + -12
3x = -10 + -12

Combine like terms: -10 + -12 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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