-3[x-4(2-x)]-5=4(X+2)-8

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Solution for -3[x-4(2-x)]-5=4(X+2)-8 equation:


Simplifying
-3[x + -4(2 + -1x)] + -5 = 4(X + 2) + -8
-3[x + (2 * -4 + -1x * -4)] + -5 = 4(X + 2) + -8
-3[x + (-8 + 4x)] + -5 = 4(X + 2) + -8

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

Combine like terms: x + 4x = 5x
-3[-8 + 5x] + -5 = 4(X + 2) + -8
[-8 * -3 + 5x * -3] + -5 = 4(X + 2) + -8
[24 + -15x] + -5 = 4(X + 2) + -8

Reorder the terms:
24 + -5 + -15x = 4(X + 2) + -8

Combine like terms: 24 + -5 = 19
19 + -15x = 4(X + 2) + -8

Reorder the terms:
19 + -15x = 4(2 + X) + -8
19 + -15x = (2 * 4 + X * 4) + -8
19 + -15x = (8 + 4X) + -8

Reorder the terms:
19 + -15x = 8 + -8 + 4X

Combine like terms: 8 + -8 = 0
19 + -15x = 0 + 4X
19 + -15x = 4X

Solving
19 + -15x = 4X

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -15x = -19 + 4X

Combine like terms: 19 + -19 = 0
0 + -15x = -19 + 4X
-15x = -19 + 4X

Divide each side by '-15'.
x = 1.266666667 + -0.2666666667X

Simplifying
x = 1.266666667 + -0.2666666667X

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