6x+34=13x-36

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Solution for 6x+34=13x-36 equation:


Simplifying
6x + 34 = 13x + -36

Reorder the terms:
34 + 6x = 13x + -36

Reorder the terms:
34 + 6x = -36 + 13x

Solving
34 + 6x = -36 + 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 + 6x + -13x = -36 + 13x + -13x

Combine like terms: 6x + -13x = -7x
34 + -7x = -36 + 13x + -13x

Combine like terms: 13x + -13x = 0
34 + -7x = -36 + 0
34 + -7x = -36

Add '-34' to each side of the equation.
34 + -34 + -7x = -36 + -34

Combine like terms: 34 + -34 = 0
0 + -7x = -36 + -34
-7x = -36 + -34

Combine like terms: -36 + -34 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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