5x-2=13x+34

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Solution for 5x-2=13x+34 equation:


Simplifying
5x + -2 = 13x + 34

Reorder the terms:
-2 + 5x = 13x + 34

Reorder the terms:
-2 + 5x = 34 + 13x

Solving
-2 + 5x = 34 + 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.
-2 + 5x + -13x = 34 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-2 + -8x = 34 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -8x = 34 + 0
-2 + -8x = 34

Add '2' to each side of the equation.
-2 + 2 + -8x = 34 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 34 + 2
-8x = 34 + 2

Combine like terms: 34 + 2 = 36
-8x = 36

Divide each side by '-8'.
x = -4.5

Simplifying
x = -4.5

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