6x+(4x-16)=(11x-31)

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Solution for 6x+(4x-16)=(11x-31) equation:


Simplifying
6x + (4x + -16) = (11x + -31)

Reorder the terms:
6x + (-16 + 4x) = (11x + -31)

Remove parenthesis around (-16 + 4x)
6x + -16 + 4x = (11x + -31)

Reorder the terms:
-16 + 6x + 4x = (11x + -31)

Combine like terms: 6x + 4x = 10x
-16 + 10x = (11x + -31)

Reorder the terms:
-16 + 10x = (-31 + 11x)

Remove parenthesis around (-31 + 11x)
-16 + 10x = -31 + 11x

Solving
-16 + 10x = -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.
-16 + 10x + -11x = -31 + 11x + -11x

Combine like terms: 10x + -11x = -1x
-16 + -1x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
-16 + -1x = -31 + 0
-16 + -1x = -31

Add '16' to each side of the equation.
-16 + 16 + -1x = -31 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -31 + 16
-1x = -31 + 16

Combine like terms: -31 + 16 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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