(8x+20)=(11x-31)

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Solution for (8x+20)=(11x-31) equation:


Simplifying
(8x + 20) = (11x + -31)

Reorder the terms:
(20 + 8x) = (11x + -31)

Remove parenthesis around (20 + 8x)
20 + 8x = (11x + -31)

Reorder the terms:
20 + 8x = (-31 + 11x)

Remove parenthesis around (-31 + 11x)
20 + 8x = -31 + 11x

Solving
20 + 8x = -31 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
20 + 8x + -11x = -31 + 11x + -11x

Combine like terms: 8x + -11x = -3x
20 + -3x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -3x = -31 + 0
20 + -3x = -31

Add '-20' to each side of the equation.
20 + -20 + -3x = -31 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -31 + -20
-3x = -31 + -20

Combine like terms: -31 + -20 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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