x+4[3-2(x+1)]=5[x-3(2x-4)]+1

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Solution for x+4[3-2(x+1)]=5[x-3(2x-4)]+1 equation: 


Simplifying
x + 4[3 + -2(x + 1)] = 5[x + -3(2x + -4)] + 1

Reorder the terms:
x + 4[3 + -2(1 + x)] = 5[x + -3(2x + -4)] + 1
x + 4[3 + (1 * -2 + x * -2)] = 5[x + -3(2x + -4)] + 1
x + 4[3 + (-2 + -2x)] = 5[x + -3(2x + -4)] + 1

Combine like terms: 3 + -2 = 1
x + 4[1 + -2x] = 5[x + -3(2x + -4)] + 1
x + [1 * 4 + -2x * 4] = 5[x + -3(2x + -4)] + 1
x + [4 + -8x] = 5[x + -3(2x + -4)] + 1

Reorder the terms:
4 + x + -8x = 5[x + -3(2x + -4)] + 1

Combine like terms: x + -8x = -7x
4 + -7x = 5[x + -3(2x + -4)] + 1

Reorder the terms:
4 + -7x = 5[x + -3(-4 + 2x)] + 1
4 + -7x = 5[x + (-4 * -3 + 2x * -3)] + 1
4 + -7x = 5[x + (12 + -6x)] + 1

Reorder the terms:
4 + -7x = 5[12 + x + -6x] + 1

Combine like terms: x + -6x = -5x
4 + -7x = 5[12 + -5x] + 1
4 + -7x = [12 * 5 + -5x * 5] + 1
4 + -7x = [60 + -25x] + 1

Reorder the terms:
4 + -7x = 60 + 1 + -25x

Combine like terms: 60 + 1 = 61
4 + -7x = 61 + -25x

Solving
4 + -7x = 61 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
4 + -7x + 25x = 61 + -25x + 25x

Combine like terms: -7x + 25x = 18x
4 + 18x = 61 + -25x + 25x

Combine like terms: -25x + 25x = 0
4 + 18x = 61 + 0
4 + 18x = 61

Add '-4' to each side of the equation.
4 + -4 + 18x = 61 + -4

Combine like terms: 4 + -4 = 0
0 + 18x = 61 + -4
18x = 61 + -4

Combine like terms: 61 + -4 = 57
18x = 57

Divide each side by '18'.
x = 3.166666667

Simplifying
x = 3.166666667

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