3x-12=8x-6+4

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Solution for 3x-12=8x-6+4 equation:


Simplifying
3x + -12 = 8x + -6 + 4

Reorder the terms:
-12 + 3x = 8x + -6 + 4

Reorder the terms:
-12 + 3x = -6 + 4 + 8x

Combine like terms: -6 + 4 = -2
-12 + 3x = -2 + 8x

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

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

Combine like terms: 8x + -8x = 0
-12 + -5x = -2 + 0
-12 + -5x = -2

Add '12' to each side of the equation.
-12 + 12 + -5x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = -2 + 12
-5x = -2 + 12

Combine like terms: -2 + 12 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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