10x+12=8x-20

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Solution for 10x+12=8x-20 equation:


Simplifying
10x + 12 = 8x + -20

Reorder the terms:
12 + 10x = 8x + -20

Reorder the terms:
12 + 10x = -20 + 8x

Solving
12 + 10x = -20 + 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 + 10x + -8x = -20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
12 + 2x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + 2x = -20 + 0
12 + 2x = -20

Add '-12' to each side of the equation.
12 + -12 + 2x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -20 + -12
2x = -20 + -12

Combine like terms: -20 + -12 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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