7x-8x+3=12x-10x-12

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Solution for 7x-8x+3=12x-10x-12 equation:


Simplifying
7x + -8x + 3 = 12x + -10x + -12

Reorder the terms:
3 + 7x + -8x = 12x + -10x + -12

Combine like terms: 7x + -8x = -1x
3 + -1x = 12x + -10x + -12

Reorder the terms:
3 + -1x = -12 + 12x + -10x

Combine like terms: 12x + -10x = 2x
3 + -1x = -12 + 2x

Solving
3 + -1x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -1x + -2x = -12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = -12 + 2x + -2x

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

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

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

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

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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