10x-15=12x+7

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Solution for 10x-15=12x+7 equation:


Simplifying
10x + -15 = 12x + 7

Reorder the terms:
-15 + 10x = 12x + 7

Reorder the terms:
-15 + 10x = 7 + 12x

Solving
-15 + 10x = 7 + 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.
-15 + 10x + -12x = 7 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-15 + -2x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + -2x = 7 + 0
-15 + -2x = 7

Add '15' to each side of the equation.
-15 + 15 + -2x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 7 + 15
-2x = 7 + 15

Combine like terms: 7 + 15 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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