9(x+5)+2(x+5)=6x-6

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Solution for 9(x+5)+2(x+5)=6x-6 equation:


Simplifying
9(x + 5) + 2(x + 5) = 6x + -6

Reorder the terms:
9(5 + x) + 2(x + 5) = 6x + -6
(5 * 9 + x * 9) + 2(x + 5) = 6x + -6
(45 + 9x) + 2(x + 5) = 6x + -6

Reorder the terms:
45 + 9x + 2(5 + x) = 6x + -6
45 + 9x + (5 * 2 + x * 2) = 6x + -6
45 + 9x + (10 + 2x) = 6x + -6

Reorder the terms:
45 + 10 + 9x + 2x = 6x + -6

Combine like terms: 45 + 10 = 55
55 + 9x + 2x = 6x + -6

Combine like terms: 9x + 2x = 11x
55 + 11x = 6x + -6

Reorder the terms:
55 + 11x = -6 + 6x

Solving
55 + 11x = -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.
55 + 11x + -6x = -6 + 6x + -6x

Combine like terms: 11x + -6x = 5x
55 + 5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
55 + 5x = -6 + 0
55 + 5x = -6

Add '-55' to each side of the equation.
55 + -55 + 5x = -6 + -55

Combine like terms: 55 + -55 = 0
0 + 5x = -6 + -55
5x = -6 + -55

Combine like terms: -6 + -55 = -61
5x = -61

Divide each side by '5'.
x = -12.2

Simplifying
x = -12.2

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