5x+34=13x-62

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Solution for 5x+34=13x-62 equation:


Simplifying
5x + 34 = 13x + -62

Reorder the terms:
34 + 5x = 13x + -62

Reorder the terms:
34 + 5x = -62 + 13x

Solving
34 + 5x = -62 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
34 + 5x + -13x = -62 + 13x + -13x

Combine like terms: 5x + -13x = -8x
34 + -8x = -62 + 13x + -13x

Combine like terms: 13x + -13x = 0
34 + -8x = -62 + 0
34 + -8x = -62

Add '-34' to each side of the equation.
34 + -34 + -8x = -62 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = -62 + -34
-8x = -62 + -34

Combine like terms: -62 + -34 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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