7(x+6)=x+8

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Solution for 7(x+6)=x+8 equation:


Simplifying
7(x + 6) = x + 8

Reorder the terms:
7(6 + x) = x + 8
(6 * 7 + x * 7) = x + 8
(42 + 7x) = x + 8

Reorder the terms:
42 + 7x = 8 + x

Solving
42 + 7x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
42 + 7x + -1x = 8 + x + -1x

Combine like terms: 7x + -1x = 6x
42 + 6x = 8 + x + -1x

Combine like terms: x + -1x = 0
42 + 6x = 8 + 0
42 + 6x = 8

Add '-42' to each side of the equation.
42 + -42 + 6x = 8 + -42

Combine like terms: 42 + -42 = 0
0 + 6x = 8 + -42
6x = 8 + -42

Combine like terms: 8 + -42 = -34
6x = -34

Divide each side by '6'.
x = -5.666666667

Simplifying
x = -5.666666667

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