7(x+1)+6(x+1)=7x-7

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Solution for 7(x+1)+6(x+1)=7x-7 equation:


Simplifying
7(x + 1) + 6(x + 1) = 7x + -7

Reorder the terms:
7(1 + x) + 6(x + 1) = 7x + -7
(1 * 7 + x * 7) + 6(x + 1) = 7x + -7
(7 + 7x) + 6(x + 1) = 7x + -7

Reorder the terms:
7 + 7x + 6(1 + x) = 7x + -7
7 + 7x + (1 * 6 + x * 6) = 7x + -7
7 + 7x + (6 + 6x) = 7x + -7

Reorder the terms:
7 + 6 + 7x + 6x = 7x + -7

Combine like terms: 7 + 6 = 13
13 + 7x + 6x = 7x + -7

Combine like terms: 7x + 6x = 13x
13 + 13x = 7x + -7

Reorder the terms:
13 + 13x = -7 + 7x

Solving
13 + 13x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
13 + 13x + -7x = -7 + 7x + -7x

Combine like terms: 13x + -7x = 6x
13 + 6x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + 6x = -7 + 0
13 + 6x = -7

Add '-13' to each side of the equation.
13 + -13 + 6x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + 6x = -7 + -13
6x = -7 + -13

Combine like terms: -7 + -13 = -20
6x = -20

Divide each side by '6'.
x = -3.333333333

Simplifying
x = -3.333333333

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