3x+6=8x-22

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Solution for 3x+6=8x-22 equation:


Simplifying
3x + 6 = 8x + -22

Reorder the terms:
6 + 3x = 8x + -22

Reorder the terms:
6 + 3x = -22 + 8x

Solving
6 + 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.
6 + 3x + -8x = -22 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -22 + 0
6 + -5x = -22

Add '-6' to each side of the equation.
6 + -6 + -5x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -22 + -6
-5x = -22 + -6

Combine like terms: -22 + -6 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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