4*(3-2x)+24=2*(3+2x)

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


Simplifying
4(3 + -2x) + 24 = 2(3 + 2x)
(3 * 4 + -2x * 4) + 24 = 2(3 + 2x)
(12 + -8x) + 24 = 2(3 + 2x)

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

Combine like terms: 12 + 24 = 36
36 + -8x = 2(3 + 2x)
36 + -8x = (3 * 2 + 2x * 2)
36 + -8x = (6 + 4x)

Solving
36 + -8x = 6 + 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.
36 + -8x + -4x = 6 + 4x + -4x

Combine like terms: -8x + -4x = -12x
36 + -12x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -12x = 6 + 0
36 + -12x = 6

Add '-36' to each side of the equation.
36 + -36 + -12x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -12x = 6 + -36
-12x = 6 + -36

Combine like terms: 6 + -36 = -30
-12x = -30

Divide each side by '-12'.
x = 2.5

Simplifying
x = 2.5

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