9(x+4)-(5x-8)=5

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Solution for 9(x+4)-(5x-8)=5 equation: 


Simplifying
9(x + 4) + -1(5x + -8) = 5

Reorder the terms:
9(4 + x) + -1(5x + -8) = 5
(4 * 9 + x * 9) + -1(5x + -8) = 5
(36 + 9x) + -1(5x + -8) = 5

Reorder the terms:
36 + 9x + -1(-8 + 5x) = 5
36 + 9x + (-8 * -1 + 5x * -1) = 5
36 + 9x + (8 + -5x) = 5

Reorder the terms:
36 + 8 + 9x + -5x = 5

Combine like terms: 36 + 8 = 44
44 + 9x + -5x = 5

Combine like terms: 9x + -5x = 4x
44 + 4x = 5

Solving
44 + 4x = 5

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 4x = 5 + -44

Combine like terms: 44 + -44 = 0
0 + 4x = 5 + -44
4x = 5 + -44

Combine like terms: 5 + -44 = -39
4x = -39

Divide each side by '4'.
x = -9.75

Simplifying
x = -9.75

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