5x-13+2x=6x+7x-18

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Solution for 5x-13+2x=6x+7x-18 equation:


Simplifying
5x + -13 + 2x = 6x + 7x + -18

Reorder the terms:
-13 + 5x + 2x = 6x + 7x + -18

Combine like terms: 5x + 2x = 7x
-13 + 7x = 6x + 7x + -18

Reorder the terms:
-13 + 7x = -18 + 6x + 7x

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

Solving
-13 + 7x = -18 + 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.
-13 + 7x + -13x = -18 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
-13 + -6x = -18 + 0
-13 + -6x = -18

Add '13' to each side of the equation.
-13 + 13 + -6x = -18 + 13

Combine like terms: -13 + 13 = 0
0 + -6x = -18 + 13
-6x = -18 + 13

Combine like terms: -18 + 13 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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