4[1-(-3x-9)]=36x+112

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Solution for 4[1-(-3x-9)]=36x+112 equation: 


Simplifying
4[1 + -1(-3x + -9)] = 36x + 112

Reorder the terms:
4[1 + -1(-9 + -3x)] = 36x + 112
4[1 + (-9 * -1 + -3x * -1)] = 36x + 112
4[1 + (9 + 3x)] = 36x + 112

Combine like terms: 1 + 9 = 10
4[10 + 3x] = 36x + 112
[10 * 4 + 3x * 4] = 36x + 112
[40 + 12x] = 36x + 112

Reorder the terms:
40 + 12x = 112 + 36x

Solving
40 + 12x = 112 + 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.
40 + 12x + -36x = 112 + 36x + -36x

Combine like terms: 12x + -36x = -24x
40 + -24x = 112 + 36x + -36x

Combine like terms: 36x + -36x = 0
40 + -24x = 112 + 0
40 + -24x = 112

Add '-40' to each side of the equation.
40 + -40 + -24x = 112 + -40

Combine like terms: 40 + -40 = 0
0 + -24x = 112 + -40
-24x = 112 + -40

Combine like terms: 112 + -40 = 72
-24x = 72

Divide each side by '-24'.
x = -3

Simplifying
x = -3

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