4x+34=11x-22

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Solution for 4x+34=11x-22 equation:


Simplifying
4x + 34 = 11x + -22

Reorder the terms:
34 + 4x = 11x + -22

Reorder the terms:
34 + 4x = -22 + 11x

Solving
34 + 4x = -22 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
34 + 4x + -11x = -22 + 11x + -11x

Combine like terms: 4x + -11x = -7x
34 + -7x = -22 + 11x + -11x

Combine like terms: 11x + -11x = 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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