4x-3(5x-8)=9-x

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Solution for 4x-3(5x-8)=9-x equation:


Simplifying
4x + -3(5x + -8) = 9 + -1x

Reorder the terms:
4x + -3(-8 + 5x) = 9 + -1x
4x + (-8 * -3 + 5x * -3) = 9 + -1x
4x + (24 + -15x) = 9 + -1x

Reorder the terms:
24 + 4x + -15x = 9 + -1x

Combine like terms: 4x + -15x = -11x
24 + -11x = 9 + -1x

Solving
24 + -11x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
24 + -11x + x = 9 + -1x + x

Combine like terms: -11x + x = -10x
24 + -10x = 9 + -1x + x

Combine like terms: -1x + x = 0
24 + -10x = 9 + 0
24 + -10x = 9

Add '-24' to each side of the equation.
24 + -24 + -10x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = 9 + -24
-10x = 9 + -24

Combine like terms: 9 + -24 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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