5x-4(2x-6)=3x-24

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Solution for 5x-4(2x-6)=3x-24 equation:


Simplifying
5x + -4(2x + -6) = 3x + -24

Reorder the terms:
5x + -4(-6 + 2x) = 3x + -24
5x + (-6 * -4 + 2x * -4) = 3x + -24
5x + (24 + -8x) = 3x + -24

Reorder the terms:
24 + 5x + -8x = 3x + -24

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

Reorder the terms:
24 + -3x = -24 + 3x

Solving
24 + -3x = -24 + 3x

Solving for variable 'x'.

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

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

Combine like terms: -3x + -3x = -6x
24 + -6x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -6x = -24 + 0
24 + -6x = -24

Add '-24' to each side of the equation.
24 + -24 + -6x = -24 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -24 + -24
-6x = -24 + -24

Combine like terms: -24 + -24 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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