9(x+5)+3(x+5)=5x-5

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Solution for 9(x+5)+3(x+5)=5x-5 equation:


Simplifying
9(x + 5) + 3(x + 5) = 5x + -5

Reorder the terms:
9(5 + x) + 3(x + 5) = 5x + -5
(5 * 9 + x * 9) + 3(x + 5) = 5x + -5
(45 + 9x) + 3(x + 5) = 5x + -5

Reorder the terms:
45 + 9x + 3(5 + x) = 5x + -5
45 + 9x + (5 * 3 + x * 3) = 5x + -5
45 + 9x + (15 + 3x) = 5x + -5

Reorder the terms:
45 + 15 + 9x + 3x = 5x + -5

Combine like terms: 45 + 15 = 60
60 + 9x + 3x = 5x + -5

Combine like terms: 9x + 3x = 12x
60 + 12x = 5x + -5

Reorder the terms:
60 + 12x = -5 + 5x

Solving
60 + 12x = -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.
60 + 12x + -5x = -5 + 5x + -5x

Combine like terms: 12x + -5x = 7x
60 + 7x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
60 + 7x = -5 + 0
60 + 7x = -5

Add '-60' to each side of the equation.
60 + -60 + 7x = -5 + -60

Combine like terms: 60 + -60 = 0
0 + 7x = -5 + -60
7x = -5 + -60

Combine like terms: -5 + -60 = -65
7x = -65

Divide each side by '7'.
x = -9.285714286

Simplifying
x = -9.285714286

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