[3(x+8+4x)-5(x+4-9x)]=1

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Solution for [3(x+8+4x)-5(x+4-9x)]=1 equation: 


Simplifying
[3(x + 8 + 4x) + -5(x + 4 + -9x)] = 1

Reorder the terms:
[3(8 + x + 4x) + -5(x + 4 + -9x)] = 1

Combine like terms: x + 4x = 5x
[3(8 + 5x) + -5(x + 4 + -9x)] = 1
[(8 * 3 + 5x * 3) + -5(x + 4 + -9x)] = 1
[(24 + 15x) + -5(x + 4 + -9x)] = 1

Reorder the terms:
[24 + 15x + -5(4 + x + -9x)] = 1

Combine like terms: x + -9x = -8x
[24 + 15x + -5(4 + -8x)] = 1
[24 + 15x + (4 * -5 + -8x * -5)] = 1
[24 + 15x + (-20 + 40x)] = 1

Reorder the terms:
[24 + -20 + 15x + 40x] = 1

Combine like terms: 24 + -20 = 4
[4 + 15x + 40x] = 1

Combine like terms: 15x + 40x = 55x
[4 + 55x] = 1

Remove brackets around [4 + 55x]
4 + 55x = 1

Solving
4 + 55x = 1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 55x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 55x = 1 + -4
55x = 1 + -4

Combine like terms: 1 + -4 = -3
55x = -3

Divide each side by '55'.
x = -0.05454545455

Simplifying
x = -0.05454545455

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