9(x+5)+7(x+5)=7x-7

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Solution for 9(x+5)+7(x+5)=7x-7 equation: 


Simplifying
9(x + 5) + 7(x + 5) = 7x + -7

Reorder the terms:
9(5 + x) + 7(x + 5) = 7x + -7
(5 * 9 + x * 9) + 7(x + 5) = 7x + -7
(45 + 9x) + 7(x + 5) = 7x + -7

Reorder the terms:
45 + 9x + 7(5 + x) = 7x + -7
45 + 9x + (5 * 7 + x * 7) = 7x + -7
45 + 9x + (35 + 7x) = 7x + -7

Reorder the terms:
45 + 35 + 9x + 7x = 7x + -7

Combine like terms: 45 + 35 = 80
80 + 9x + 7x = 7x + -7

Combine like terms: 9x + 7x = 16x
80 + 16x = 7x + -7

Reorder the terms:
80 + 16x = -7 + 7x

Solving
80 + 16x = -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.
80 + 16x + -7x = -7 + 7x + -7x

Combine like terms: 16x + -7x = 9x
80 + 9x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
80 + 9x = -7 + 0
80 + 9x = -7

Add '-80' to each side of the equation.
80 + -80 + 9x = -7 + -80

Combine like terms: 80 + -80 = 0
0 + 9x = -7 + -80
9x = -7 + -80

Combine like terms: -7 + -80 = -87
9x = -87

Divide each side by '9'.
x = -9.666666667

Simplifying
x = -9.666666667

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