6(x+1)=11x+31

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Solution for 6(x+1)=11x+31 equation:


Simplifying
6(x + 1) = 11x + 31

Reorder the terms:
6(1 + x) = 11x + 31
(1 * 6 + x * 6) = 11x + 31
(6 + 6x) = 11x + 31

Reorder the terms:
6 + 6x = 31 + 11x

Solving
6 + 6x = 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.
6 + 6x + -11x = 31 + 11x + -11x

Combine like terms: 6x + -11x = -5x
6 + -5x = 31 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -5x = 31 + 0
6 + -5x = 31

Add '-6' to each side of the equation.
6 + -6 + -5x = 31 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 31 + -6
-5x = 31 + -6

Combine like terms: 31 + -6 = 25
-5x = 25

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

Simplifying
x = -5

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