8x-11=13x-31

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Solution for 8x-11=13x-31 equation:


Simplifying
8x + -11 = 13x + -31

Reorder the terms:
-11 + 8x = 13x + -31

Reorder the terms:
-11 + 8x = -31 + 13x

Solving
-11 + 8x = -31 + 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.
-11 + 8x + -13x = -31 + 13x + -13x

Combine like terms: 8x + -13x = -5x
-11 + -5x = -31 + 13x + -13x

Combine like terms: 13x + -13x = 0
-11 + -5x = -31 + 0
-11 + -5x = -31

Add '11' to each side of the equation.
-11 + 11 + -5x = -31 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = -31 + 11
-5x = -31 + 11

Combine like terms: -31 + 11 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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