5x-24=-8(6-2x)+x

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Solution for 5x-24=-8(6-2x)+x equation:


Simplifying
5x + -24 = -8(6 + -2x) + x

Reorder the terms:
-24 + 5x = -8(6 + -2x) + x
-24 + 5x = (6 * -8 + -2x * -8) + x
-24 + 5x = (-48 + 16x) + x

Combine like terms: 16x + x = 17x
-24 + 5x = -48 + 17x

Solving
-24 + 5x = -48 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-24 + 5x + -17x = -48 + 17x + -17x

Combine like terms: 5x + -17x = -12x
-24 + -12x = -48 + 17x + -17x

Combine like terms: 17x + -17x = 0
-24 + -12x = -48 + 0
-24 + -12x = -48

Add '24' to each side of the equation.
-24 + 24 + -12x = -48 + 24

Combine like terms: -24 + 24 = 0
0 + -12x = -48 + 24
-12x = -48 + 24

Combine like terms: -48 + 24 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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