6x+18=13x-52

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Solution for 6x+18=13x-52 equation:


Simplifying
6x + 18 = 13x + -52

Reorder the terms:
18 + 6x = 13x + -52

Reorder the terms:
18 + 6x = -52 + 13x

Solving
18 + 6x = -52 + 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.
18 + 6x + -13x = -52 + 13x + -13x

Combine like terms: 6x + -13x = -7x
18 + -7x = -52 + 13x + -13x

Combine like terms: 13x + -13x = 0
18 + -7x = -52 + 0
18 + -7x = -52

Add '-18' to each side of the equation.
18 + -18 + -7x = -52 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = -52 + -18
-7x = -52 + -18

Combine like terms: -52 + -18 = -70
-7x = -70

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

Simplifying
x = 10

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