10x-8=12x+5

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


Simplifying
10x + -8 = 12x + 5

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

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

Solving
-8 + 10x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 10x + -12x = 5 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-8 + -2x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -2x = 5 + 0
-8 + -2x = 5

Add '8' to each side of the equation.
-8 + 8 + -2x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 5 + 8
-2x = 5 + 8

Combine like terms: 5 + 8 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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