6(x+1)-2x-1=x+15+x+16

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Solution for 6(x+1)-2x-1=x+15+x+16 equation:


Simplifying
6(x + 1) + -2x + -1 = x + 15 + x + 16

Reorder the terms:
6(1 + x) + -2x + -1 = x + 15 + x + 16
(1 * 6 + x * 6) + -2x + -1 = x + 15 + x + 16
(6 + 6x) + -2x + -1 = x + 15 + x + 16

Reorder the terms:
6 + -1 + 6x + -2x = x + 15 + x + 16

Combine like terms: 6 + -1 = 5
5 + 6x + -2x = x + 15 + x + 16

Combine like terms: 6x + -2x = 4x
5 + 4x = x + 15 + x + 16

Reorder the terms:
5 + 4x = 15 + 16 + x + x

Combine like terms: 15 + 16 = 31
5 + 4x = 31 + x + x

Combine like terms: x + x = 2x
5 + 4x = 31 + 2x

Solving
5 + 4x = 31 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 4x + -2x = 31 + 2x + -2x

Combine like terms: 4x + -2x = 2x
5 + 2x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 2x = 31 + 0
5 + 2x = 31

Add '-5' to each side of the equation.
5 + -5 + 2x = 31 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 31 + -5
2x = 31 + -5

Combine like terms: 31 + -5 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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