x-12=8x+16

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Solution for x-12=8x+16 equation:


Simplifying
x + -12 = 8x + 16

Reorder the terms:
-12 + x = 8x + 16

Reorder the terms:
-12 + x = 16 + 8x

Solving
-12 + x = 16 + 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 + x + -8x = 16 + 8x + -8x

Combine like terms: x + -8x = -7x
-12 + -7x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -7x = 16 + 0
-12 + -7x = 16

Add '12' to each side of the equation.
-12 + 12 + -7x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 16 + 12
-7x = 16 + 12

Combine like terms: 16 + 12 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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