7x+15=12x-10

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


Simplifying
7x + 15 = 12x + -10

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

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

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

Combine like terms: 7x + -12x = -5x
15 + -5x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -5x = -10 + 0
15 + -5x = -10

Add '-15' to each side of the equation.
15 + -15 + -5x = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -10 + -15
-5x = -10 + -15

Combine like terms: -10 + -15 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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