10x-8=-5x+12

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


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

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

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

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

Combine like terms: 10x + 5x = 15x
-8 + 15x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 15x = 12 + 0
-8 + 15x = 12

Add '8' to each side of the equation.
-8 + 8 + 15x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 12 + 8
15x = 12 + 8

Combine like terms: 12 + 8 = 20
15x = 20

Divide each side by '15'.
x = 1.333333333

Simplifying
x = 1.333333333

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