9(x+2)-(x-5)=4x

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Solution for 9(x+2)-(x-5)=4x equation: 


Simplifying
9(x + 2) + -1(x + -5) = 4x

Reorder the terms:
9(2 + x) + -1(x + -5) = 4x
(2 * 9 + x * 9) + -1(x + -5) = 4x
(18 + 9x) + -1(x + -5) = 4x

Reorder the terms:
18 + 9x + -1(-5 + x) = 4x
18 + 9x + (-5 * -1 + x * -1) = 4x
18 + 9x + (5 + -1x) = 4x

Reorder the terms:
18 + 5 + 9x + -1x = 4x

Combine like terms: 18 + 5 = 23
23 + 9x + -1x = 4x

Combine like terms: 9x + -1x = 8x
23 + 8x = 4x

Solving
23 + 8x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + 8x + -4x = 4x + -4x

Combine like terms: 8x + -4x = 4x
23 + 4x = 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 4x = 0

Add '-23' to each side of the equation.
23 + -23 + 4x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 0 + -23
4x = 0 + -23

Combine like terms: 0 + -23 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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