4[9-(-2x-9)]=56x+288

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Solution for 4[9-(-2x-9)]=56x+288 equation:


Simplifying
4[9 + -1(-2x + -9)] = 56x + 288

Reorder the terms:
4[9 + -1(-9 + -2x)] = 56x + 288
4[9 + (-9 * -1 + -2x * -1)] = 56x + 288
4[9 + (9 + 2x)] = 56x + 288

Combine like terms: 9 + 9 = 18
4[18 + 2x] = 56x + 288
[18 * 4 + 2x * 4] = 56x + 288
[72 + 8x] = 56x + 288

Reorder the terms:
72 + 8x = 288 + 56x

Solving
72 + 8x = 288 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
72 + 8x + -56x = 288 + 56x + -56x

Combine like terms: 8x + -56x = -48x
72 + -48x = 288 + 56x + -56x

Combine like terms: 56x + -56x = 0
72 + -48x = 288 + 0
72 + -48x = 288

Add '-72' to each side of the equation.
72 + -72 + -48x = 288 + -72

Combine like terms: 72 + -72 = 0
0 + -48x = 288 + -72
-48x = 288 + -72

Combine like terms: 288 + -72 = 216
-48x = 216

Divide each side by '-48'.
x = -4.5

Simplifying
x = -4.5

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