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

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


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

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

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

Reorder the terms:
45 + 10 + 9x + 2x = 5x + -5

Combine like terms: 45 + 10 = 55
55 + 9x + 2x = 5x + -5

Combine like terms: 9x + 2x = 11x
55 + 11x = 5x + -5

Reorder the terms:
55 + 11x = -5 + 5x

Solving
55 + 11x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
55 + 11x + -5x = -5 + 5x + -5x

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

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

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

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

Combine like terms: -5 + -55 = -60
6x = -60

Divide each side by '6'.
x = -10

Simplifying
x = -10

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