9(x+4)+7(x+4)=5x-x

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Solution for 9(x+4)+7(x+4)=5x-x equation:


Simplifying
9(x + 4) + 7(x + 4) = 5x + -1x

Reorder the terms:
9(4 + x) + 7(x + 4) = 5x + -1x
(4 * 9 + x * 9) + 7(x + 4) = 5x + -1x
(36 + 9x) + 7(x + 4) = 5x + -1x

Reorder the terms:
36 + 9x + 7(4 + x) = 5x + -1x
36 + 9x + (4 * 7 + x * 7) = 5x + -1x
36 + 9x + (28 + 7x) = 5x + -1x

Reorder the terms:
36 + 28 + 9x + 7x = 5x + -1x

Combine like terms: 36 + 28 = 64
64 + 9x + 7x = 5x + -1x

Combine like terms: 9x + 7x = 16x
64 + 16x = 5x + -1x

Combine like terms: 5x + -1x = 4x
64 + 16x = 4x

Solving
64 + 16x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
64 + 16x + -4x = 4x + -4x

Combine like terms: 16x + -4x = 12x
64 + 12x = 4x + -4x

Combine like terms: 4x + -4x = 0
64 + 12x = 0

Add '-64' to each side of the equation.
64 + -64 + 12x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 12x = 0 + -64
12x = 0 + -64

Combine like terms: 0 + -64 = -64
12x = -64

Divide each side by '12'.
x = -5.333333333

Simplifying
x = -5.333333333

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