7(x+3)+6(x+3)=7x-7

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Solution for 7(x+3)+6(x+3)=7x-7 equation:


Simplifying
7(x + 3) + 6(x + 3) = 7x + -7

Reorder the terms:
7(3 + x) + 6(x + 3) = 7x + -7
(3 * 7 + x * 7) + 6(x + 3) = 7x + -7
(21 + 7x) + 6(x + 3) = 7x + -7

Reorder the terms:
21 + 7x + 6(3 + x) = 7x + -7
21 + 7x + (3 * 6 + x * 6) = 7x + -7
21 + 7x + (18 + 6x) = 7x + -7

Reorder the terms:
21 + 18 + 7x + 6x = 7x + -7

Combine like terms: 21 + 18 = 39
39 + 7x + 6x = 7x + -7

Combine like terms: 7x + 6x = 13x
39 + 13x = 7x + -7

Reorder the terms:
39 + 13x = -7 + 7x

Solving
39 + 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.
39 + 13x + -7x = -7 + 7x + -7x

Combine like terms: 13x + -7x = 6x
39 + 6x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
39 + 6x = -7 + 0
39 + 6x = -7

Add '-39' to each side of the equation.
39 + -39 + 6x = -7 + -39

Combine like terms: 39 + -39 = 0
0 + 6x = -7 + -39
6x = -7 + -39

Combine like terms: -7 + -39 = -46
6x = -46

Divide each side by '6'.
x = -7.666666667

Simplifying
x = -7.666666667

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