4[3-2(2x+1)+6]-3(x-1)=5(x+3)-4

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Solution for 4[3-2(2x+1)+6]-3(x-1)=5(x+3)-4 equation: 


Simplifying
4[3 + -2(2x + 1) + 6] + -3(x + -1) = 5(x + 3) + -4

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

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

Combine like terms: 3 + -2 = 1
4[1 + 6 + -4x] + -3(x + -1) = 5(x + 3) + -4

Combine like terms: 1 + 6 = 7
4[7 + -4x] + -3(x + -1) = 5(x + 3) + -4
[7 * 4 + -4x * 4] + -3(x + -1) = 5(x + 3) + -4
[28 + -16x] + -3(x + -1) = 5(x + 3) + -4

Reorder the terms:
28 + -16x + -3(-1 + x) = 5(x + 3) + -4
28 + -16x + (-1 * -3 + x * -3) = 5(x + 3) + -4
28 + -16x + (3 + -3x) = 5(x + 3) + -4

Reorder the terms:
28 + 3 + -16x + -3x = 5(x + 3) + -4

Combine like terms: 28 + 3 = 31
31 + -16x + -3x = 5(x + 3) + -4

Combine like terms: -16x + -3x = -19x
31 + -19x = 5(x + 3) + -4

Reorder the terms:
31 + -19x = 5(3 + x) + -4
31 + -19x = (3 * 5 + x * 5) + -4
31 + -19x = (15 + 5x) + -4

Reorder the terms:
31 + -19x = 15 + -4 + 5x

Combine like terms: 15 + -4 = 11
31 + -19x = 11 + 5x

Solving
31 + -19x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
31 + -19x + -5x = 11 + 5x + -5x

Combine like terms: -19x + -5x = -24x
31 + -24x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
31 + -24x = 11 + 0
31 + -24x = 11

Add '-31' to each side of the equation.
31 + -31 + -24x = 11 + -31

Combine like terms: 31 + -31 = 0
0 + -24x = 11 + -31
-24x = 11 + -31

Combine like terms: 11 + -31 = -20
-24x = -20

Divide each side by '-24'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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