12+3(x-4)-24=2[5-4(8-x)]

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Solution for 12+3(x-4)-24=2[5-4(8-x)] equation:


Simplifying
12 + 3(x + -4) + -24 = 2[5 + -4(8 + -1x)]

Reorder the terms:
12 + 3(-4 + x) + -24 = 2[5 + -4(8 + -1x)]
12 + (-4 * 3 + x * 3) + -24 = 2[5 + -4(8 + -1x)]
12 + (-12 + 3x) + -24 = 2[5 + -4(8 + -1x)]

Reorder the terms:
12 + -12 + -24 + 3x = 2[5 + -4(8 + -1x)]

Combine like terms: 12 + -12 = 0
0 + -24 + 3x = 2[5 + -4(8 + -1x)]
-24 + 3x = 2[5 + -4(8 + -1x)]
-24 + 3x = 2[5 + (8 * -4 + -1x * -4)]
-24 + 3x = 2[5 + (-32 + 4x)]

Combine like terms: 5 + -32 = -27
-24 + 3x = 2[-27 + 4x]
-24 + 3x = [-27 * 2 + 4x * 2]
-24 + 3x = [-54 + 8x]

Solving
-24 + 3x = -54 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + 3x + -8x = -54 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-24 + -5x = -54 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -5x = -54 + 0
-24 + -5x = -54

Add '24' to each side of the equation.
-24 + 24 + -5x = -54 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = -54 + 24
-5x = -54 + 24

Combine like terms: -54 + 24 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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