6(x+1)=3(x+1)+x+5

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Solution for 6(x+1)=3(x+1)+x+5 equation: 


Simplifying
6(x + 1) = 3(x + 1) + x + 5

Reorder the terms:
6(1 + x) = 3(x + 1) + x + 5
(1 * 6 + x * 6) = 3(x + 1) + x + 5
(6 + 6x) = 3(x + 1) + x + 5

Reorder the terms:
6 + 6x = 3(1 + x) + x + 5
6 + 6x = (1 * 3 + x * 3) + x + 5
6 + 6x = (3 + 3x) + x + 5

Reorder the terms:
6 + 6x = 3 + 5 + 3x + x

Combine like terms: 3 + 5 = 8
6 + 6x = 8 + 3x + x

Combine like terms: 3x + x = 4x
6 + 6x = 8 + 4x

Solving
6 + 6x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 6x + -4x = 8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = 8 + 0
6 + 2x = 8

Add '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6

Combine like terms: 8 + -6 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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