6[4(3x+24)-48]-72=-24

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Solution for 6[4(3x+24)-48]-72=-24 equation: 


Simplifying
6[4(3x + 24) + -48] + -72 = -24

Reorder the terms:
6[4(24 + 3x) + -48] + -72 = -24
6[(24 * 4 + 3x * 4) + -48] + -72 = -24
6[(96 + 12x) + -48] + -72 = -24

Reorder the terms:
6[96 + -48 + 12x] + -72 = -24

Combine like terms: 96 + -48 = 48
6[48 + 12x] + -72 = -24
[48 * 6 + 12x * 6] + -72 = -24
[288 + 72x] + -72 = -24

Reorder the terms:
288 + -72 + 72x = -24

Combine like terms: 288 + -72 = 216
216 + 72x = -24

Solving
216 + 72x = -24

Solving for variable 'x'.

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

Add '-216' to each side of the equation.
216 + -216 + 72x = -24 + -216

Combine like terms: 216 + -216 = 0
0 + 72x = -24 + -216
72x = -24 + -216

Combine like terms: -24 + -216 = -240
72x = -240

Divide each side by '72'.
x = -3.333333333

Simplifying
x = -3.333333333

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