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

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


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

Reorder the terms:
9(5 + x) + 4(x + 5) = 5x + -5
(5 * 9 + x * 9) + 4(x + 5) = 5x + -5
(45 + 9x) + 4(x + 5) = 5x + -5

Reorder the terms:
45 + 9x + 4(5 + x) = 5x + -5
45 + 9x + (5 * 4 + x * 4) = 5x + -5
45 + 9x + (20 + 4x) = 5x + -5

Reorder the terms:
45 + 20 + 9x + 4x = 5x + -5

Combine like terms: 45 + 20 = 65
65 + 9x + 4x = 5x + -5

Combine like terms: 9x + 4x = 13x
65 + 13x = 5x + -5

Reorder the terms:
65 + 13x = -5 + 5x

Solving
65 + 13x = -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.
65 + 13x + -5x = -5 + 5x + -5x

Combine like terms: 13x + -5x = 8x
65 + 8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
65 + 8x = -5 + 0
65 + 8x = -5

Add '-65' to each side of the equation.
65 + -65 + 8x = -5 + -65

Combine like terms: 65 + -65 = 0
0 + 8x = -5 + -65
8x = -5 + -65

Combine like terms: -5 + -65 = -70
8x = -70

Divide each side by '8'.
x = -8.75

Simplifying
x = -8.75

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