3x-6=8x+32

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Solution for 3x-6=8x+32 equation:


Simplifying
3x + -6 = 8x + 32

Reorder the terms:
-6 + 3x = 8x + 32

Reorder the terms:
-6 + 3x = 32 + 8x

Solving
-6 + 3x = 32 + 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.
-6 + 3x + -8x = 32 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = 32 + 0
-6 + -5x = 32

Add '6' to each side of the equation.
-6 + 6 + -5x = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 32 + 6
-5x = 32 + 6

Combine like terms: 32 + 6 = 38
-5x = 38

Divide each side by '-5'.
x = -7.6

Simplifying
x = -7.6

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