5x-6=-8x+20

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Solution for 5x-6=-8x+20 equation:


Simplifying
5x + -6 = -8x + 20

Reorder the terms:
-6 + 5x = -8x + 20

Reorder the terms:
-6 + 5x = 20 + -8x

Solving
-6 + 5x = 20 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-6 + 5x + 8x = 20 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-6 + 13x = 20 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 13x = 20 + 0
-6 + 13x = 20

Add '6' to each side of the equation.
-6 + 6 + 13x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 20 + 6
13x = 20 + 6

Combine like terms: 20 + 6 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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