5(x+3)-(2x-9)=8

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Solution for 5(x+3)-(2x-9)=8 equation: 


Simplifying
5(x + 3) + -1(2x + -9) = 8

Reorder the terms:
5(3 + x) + -1(2x + -9) = 8
(3 * 5 + x * 5) + -1(2x + -9) = 8
(15 + 5x) + -1(2x + -9) = 8

Reorder the terms:
15 + 5x + -1(-9 + 2x) = 8
15 + 5x + (-9 * -1 + 2x * -1) = 8
15 + 5x + (9 + -2x) = 8

Reorder the terms:
15 + 9 + 5x + -2x = 8

Combine like terms: 15 + 9 = 24
24 + 5x + -2x = 8

Combine like terms: 5x + -2x = 3x
24 + 3x = 8

Solving
24 + 3x = 8

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 3x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 8 + -24
3x = 8 + -24

Combine like terms: 8 + -24 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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