5x-12=7x+8

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Solution for 5x-12=7x+8 equation:


Simplifying
5x + -12 = 7x + 8

Reorder the terms:
-12 + 5x = 7x + 8

Reorder the terms:
-12 + 5x = 8 + 7x

Solving
-12 + 5x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 5x + -7x = 8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-12 + -2x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -2x = 8 + 0
-12 + -2x = 8

Add '12' to each side of the equation.
-12 + 12 + -2x = 8 + 12

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

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

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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