x+34=5x-14

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Solution for x+34=5x-14 equation:


Simplifying
x + 34 = 5x + -14

Reorder the terms:
34 + x = 5x + -14

Reorder the terms:
34 + x = -14 + 5x

Solving
34 + x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
34 + x + -5x = -14 + 5x + -5x

Combine like terms: x + -5x = -4x
34 + -4x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
34 + -4x = -14 + 0
34 + -4x = -14

Add '-34' to each side of the equation.
34 + -34 + -4x = -14 + -34

Combine like terms: 34 + -34 = 0
0 + -4x = -14 + -34
-4x = -14 + -34

Combine like terms: -14 + -34 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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