x+34=8x-22

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Solution for x+34=8x-22 equation:


Simplifying
x + 34 = 8x + -22

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

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

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

Combine like terms: x + -8x = -7x
34 + -7x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + -7x = -22 + 0
34 + -7x = -22

Add '-34' to each side of the equation.
34 + -34 + -7x = -22 + -34

Combine like terms: 34 + -34 = 0
0 + -7x = -22 + -34
-7x = -22 + -34

Combine like terms: -22 + -34 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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