3[9-(-3x-4)]=36x+75

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Solution for 3[9-(-3x-4)]=36x+75 equation:


Simplifying
3[9 + -1(-3x + -4)] = 36x + 75

Reorder the terms:
3[9 + -1(-4 + -3x)] = 36x + 75
3[9 + (-4 * -1 + -3x * -1)] = 36x + 75
3[9 + (4 + 3x)] = 36x + 75

Combine like terms: 9 + 4 = 13
3[13 + 3x] = 36x + 75
[13 * 3 + 3x * 3] = 36x + 75
[39 + 9x] = 36x + 75

Reorder the terms:
39 + 9x = 75 + 36x

Solving
39 + 9x = 75 + 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.
39 + 9x + -36x = 75 + 36x + -36x

Combine like terms: 9x + -36x = -27x
39 + -27x = 75 + 36x + -36x

Combine like terms: 36x + -36x = 0
39 + -27x = 75 + 0
39 + -27x = 75

Add '-39' to each side of the equation.
39 + -39 + -27x = 75 + -39

Combine like terms: 39 + -39 = 0
0 + -27x = 75 + -39
-27x = 75 + -39

Combine like terms: 75 + -39 = 36
-27x = 36

Divide each side by '-27'.
x = -1.333333333

Simplifying
x = -1.333333333

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