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

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Solution for 9(x+6)+3(x+6)=7x-7 equation:


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

Reorder the terms:
9(6 + x) + 3(x + 6) = 7x + -7
(6 * 9 + x * 9) + 3(x + 6) = 7x + -7
(54 + 9x) + 3(x + 6) = 7x + -7

Reorder the terms:
54 + 9x + 3(6 + x) = 7x + -7
54 + 9x + (6 * 3 + x * 3) = 7x + -7
54 + 9x + (18 + 3x) = 7x + -7

Reorder the terms:
54 + 18 + 9x + 3x = 7x + -7

Combine like terms: 54 + 18 = 72
72 + 9x + 3x = 7x + -7

Combine like terms: 9x + 3x = 12x
72 + 12x = 7x + -7

Reorder the terms:
72 + 12x = -7 + 7x

Solving
72 + 12x = -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.
72 + 12x + -7x = -7 + 7x + -7x

Combine like terms: 12x + -7x = 5x
72 + 5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
72 + 5x = -7 + 0
72 + 5x = -7

Add '-72' to each side of the equation.
72 + -72 + 5x = -7 + -72

Combine like terms: 72 + -72 = 0
0 + 5x = -7 + -72
5x = -7 + -72

Combine like terms: -7 + -72 = -79
5x = -79

Divide each side by '5'.
x = -15.8

Simplifying
x = -15.8

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