3x+8=8x-22

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Solution for 3x+8=8x-22 equation:


Simplifying
3x + 8 = 8x + -22

Reorder the terms:
8 + 3x = 8x + -22

Reorder the terms:
8 + 3x = -22 + 8x

Solving
8 + 3x = -22 + 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.
8 + 3x + -8x = -22 + 8x + -8x

Combine like terms: 3x + -8x = -5x
8 + -5x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -5x = -22 + 0
8 + -5x = -22

Add '-8' to each side of the equation.
8 + -8 + -5x = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -22 + -8
-5x = -22 + -8

Combine like terms: -22 + -8 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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