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

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


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

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

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

Combine like terms: -3 + 2 = -1
7 + x = -1 + 12x + -8x

Combine like terms: 12x + -8x = 4x
7 + x = -1 + 4x

Solving
7 + x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + x + -4x = -1 + 4x + -4x

Combine like terms: x + -4x = -3x
7 + -3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -3x = -1 + 0
7 + -3x = -1

Add '-7' to each side of the equation.
7 + -7 + -3x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -1 + -7
-3x = -1 + -7

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

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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