10x-3=12x+15

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Solution for 10x-3=12x+15 equation:


Simplifying
10x + -3 = 12x + 15

Reorder the terms:
-3 + 10x = 12x + 15

Reorder the terms:
-3 + 10x = 15 + 12x

Solving
-3 + 10x = 15 + 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.
-3 + 10x + -12x = 15 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-3 + -2x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -2x = 15 + 0
-3 + -2x = 15

Add '3' to each side of the equation.
-3 + 3 + -2x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 15 + 3
-2x = 15 + 3

Combine like terms: 15 + 3 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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