9(x+4)+7(x+4)=6x-6

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Solution for 9(x+4)+7(x+4)=6x-6 equation:


Simplifying
9(x + 4) + 7(x + 4) = 6x + -6

Reorder the terms:
9(4 + x) + 7(x + 4) = 6x + -6
(4 * 9 + x * 9) + 7(x + 4) = 6x + -6
(36 + 9x) + 7(x + 4) = 6x + -6

Reorder the terms:
36 + 9x + 7(4 + x) = 6x + -6
36 + 9x + (4 * 7 + x * 7) = 6x + -6
36 + 9x + (28 + 7x) = 6x + -6

Reorder the terms:
36 + 28 + 9x + 7x = 6x + -6

Combine like terms: 36 + 28 = 64
64 + 9x + 7x = 6x + -6

Combine like terms: 9x + 7x = 16x
64 + 16x = 6x + -6

Reorder the terms:
64 + 16x = -6 + 6x

Solving
64 + 16x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
64 + 16x + -6x = -6 + 6x + -6x

Combine like terms: 16x + -6x = 10x
64 + 10x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
64 + 10x = -6 + 0
64 + 10x = -6

Add '-64' to each side of the equation.
64 + -64 + 10x = -6 + -64

Combine like terms: 64 + -64 = 0
0 + 10x = -6 + -64
10x = -6 + -64

Combine like terms: -6 + -64 = -70
10x = -70

Divide each side by '10'.
x = -7

Simplifying
x = -7

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