3x+2x-12=8x-7

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Solution for 3x+2x-12=8x-7 equation:


Simplifying
3x + 2x + -12 = 8x + -7

Reorder the terms:
-12 + 3x + 2x = 8x + -7

Combine like terms: 3x + 2x = 5x
-12 + 5x = 8x + -7

Reorder the terms:
-12 + 5x = -7 + 8x

Solving
-12 + 5x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-12 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -3x = -7 + 0
-12 + -3x = -7

Add '12' to each side of the equation.
-12 + 12 + -3x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -7 + 12
-3x = -7 + 12

Combine like terms: -7 + 12 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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