8x-20=13x+10

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Solution for 8x-20=13x+10 equation:


Simplifying
8x + -20 = 13x + 10

Reorder the terms:
-20 + 8x = 13x + 10

Reorder the terms:
-20 + 8x = 10 + 13x

Solving
-20 + 8x = 10 + 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.
-20 + 8x + -13x = 10 + 13x + -13x

Combine like terms: 8x + -13x = -5x
-20 + -5x = 10 + 13x + -13x

Combine like terms: 13x + -13x = 0
-20 + -5x = 10 + 0
-20 + -5x = 10

Add '20' to each side of the equation.
-20 + 20 + -5x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = 10 + 20
-5x = 10 + 20

Combine like terms: 10 + 20 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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