7x-8+4x+20=13x-6

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Solution for 7x-8+4x+20=13x-6 equation:


Simplifying
7x + -8 + 4x + 20 = 13x + -6

Reorder the terms:
-8 + 20 + 7x + 4x = 13x + -6

Combine like terms: -8 + 20 = 12
12 + 7x + 4x = 13x + -6

Combine like terms: 7x + 4x = 11x
12 + 11x = 13x + -6

Reorder the terms:
12 + 11x = -6 + 13x

Solving
12 + 11x = -6 + 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.
12 + 11x + -13x = -6 + 13x + -13x

Combine like terms: 11x + -13x = -2x
12 + -2x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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