9(x+6)+8(x+6)=7x-7

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Solution for 9(x+6)+8(x+6)=7x-7 equation:


Simplifying
9(x + 6) + 8(x + 6) = 7x + -7

Reorder the terms:
9(6 + x) + 8(x + 6) = 7x + -7
(6 * 9 + x * 9) + 8(x + 6) = 7x + -7
(54 + 9x) + 8(x + 6) = 7x + -7

Reorder the terms:
54 + 9x + 8(6 + x) = 7x + -7
54 + 9x + (6 * 8 + x * 8) = 7x + -7
54 + 9x + (48 + 8x) = 7x + -7

Reorder the terms:
54 + 48 + 9x + 8x = 7x + -7

Combine like terms: 54 + 48 = 102
102 + 9x + 8x = 7x + -7

Combine like terms: 9x + 8x = 17x
102 + 17x = 7x + -7

Reorder the terms:
102 + 17x = -7 + 7x

Solving
102 + 17x = -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.
102 + 17x + -7x = -7 + 7x + -7x

Combine like terms: 17x + -7x = 10x
102 + 10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
102 + 10x = -7 + 0
102 + 10x = -7

Add '-102' to each side of the equation.
102 + -102 + 10x = -7 + -102

Combine like terms: 102 + -102 = 0
0 + 10x = -7 + -102
10x = -7 + -102

Combine like terms: -7 + -102 = -109
10x = -109

Divide each side by '10'.
x = -10.9

Simplifying
x = -10.9

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