12x-8=-3x+7

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Solution for 12x-8=-3x+7 equation:


Simplifying
12x + -8 = -3x + 7

Reorder the terms:
-8 + 12x = -3x + 7

Reorder the terms:
-8 + 12x = 7 + -3x

Solving
-8 + 12x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 12x + 3x = 7 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-8 + 15x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 15x = 7 + 0
-8 + 15x = 7

Add '8' to each side of the equation.
-8 + 8 + 15x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 7 + 8
15x = 7 + 8

Combine like terms: 7 + 8 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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