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

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


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

Reorder the terms:
6x + -4(-3 + 2x) = 4x + -24
6x + (-3 * -4 + 2x * -4) = 4x + -24
6x + (12 + -8x) = 4x + -24

Reorder the terms:
12 + 6x + -8x = 4x + -24

Combine like terms: 6x + -8x = -2x
12 + -2x = 4x + -24

Reorder the terms:
12 + -2x = -24 + 4x

Solving
12 + -2x = -24 + 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.
12 + -2x + -4x = -24 + 4x + -4x

Combine like terms: -2x + -4x = -6x
12 + -6x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -6x = -24 + 0
12 + -6x = -24

Add '-12' to each side of the equation.
12 + -12 + -6x = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -24 + -12
-6x = -24 + -12

Combine like terms: -24 + -12 = -36
-6x = -36

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

Simplifying
x = 6

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