3(4x)+4(72)-12x=-6(6x+4)+24

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Solution for 3(4x)+4(72)-12x=-6(6x+4)+24 equation:


Simplifying
3(4x) + 4(72) + -12x = -6(6x + 4) + 24

Remove parenthesis around (4x)
3 * 4x + 4(72) + -12x = -6(6x + 4) + 24

Multiply 3 * 4
12x + 4(72) + -12x = -6(6x + 4) + 24

Multiply 4 * 72
12x + 288 + -12x = -6(6x + 4) + 24

Reorder the terms:
288 + 12x + -12x = -6(6x + 4) + 24

Combine like terms: 12x + -12x = 0
288 + 0 = -6(6x + 4) + 24
288 = -6(6x + 4) + 24

Reorder the terms:
288 = -6(4 + 6x) + 24
288 = (4 * -6 + 6x * -6) + 24
288 = (-24 + -36x) + 24

Reorder the terms:
288 = -24 + 24 + -36x

Combine like terms: -24 + 24 = 0
288 = 0 + -36x
288 = -36x

Solving
288 = -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
288 + 36x = -36x + 36x

Combine like terms: -36x + 36x = 0
288 + 36x = 0

Add '-288' to each side of the equation.
288 + -288 + 36x = 0 + -288

Combine like terms: 288 + -288 = 0
0 + 36x = 0 + -288
36x = 0 + -288

Combine like terms: 0 + -288 = -288
36x = -288

Divide each side by '36'.
x = -8

Simplifying
x = -8

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