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

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


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

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

Reorder the terms:
36 + 9x + 6(4 + x) = 6x + -6
36 + 9x + (4 * 6 + x * 6) = 6x + -6
36 + 9x + (24 + 6x) = 6x + -6

Reorder the terms:
36 + 24 + 9x + 6x = 6x + -6

Combine like terms: 36 + 24 = 60
60 + 9x + 6x = 6x + -6

Combine like terms: 9x + 6x = 15x
60 + 15x = 6x + -6

Reorder the terms:
60 + 15x = -6 + 6x

Solving
60 + 15x = -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.
60 + 15x + -6x = -6 + 6x + -6x

Combine like terms: 15x + -6x = 9x
60 + 9x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
60 + 9x = -6 + 0
60 + 9x = -6

Add '-60' to each side of the equation.
60 + -60 + 9x = -6 + -60

Combine like terms: 60 + -60 = 0
0 + 9x = -6 + -60
9x = -6 + -60

Combine like terms: -6 + -60 = -66
9x = -66

Divide each side by '9'.
x = -7.333333333

Simplifying
x = -7.333333333

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