3x-12=10x+15

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


Simplifying
3x + -12 = 10x + 15

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

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

Solving
-12 + 3x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 3x + -10x = 15 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-12 + -7x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -7x = 15 + 0
-12 + -7x = 15

Add '12' to each side of the equation.
-12 + 12 + -7x = 15 + 12

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

Combine like terms: 15 + 12 = 27
-7x = 27

Divide each side by '-7'.
x = -3.857142857

Simplifying
x = -3.857142857

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