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

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

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

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

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

Reorder the terms:
4 + -4x = 3[8 + x + -2x + x]

Combine like terms: x + -2x = -1x
4 + -4x = 3[8 + -1x + x]

Combine like terms: -1x + x = 0
4 + -4x = 3[8 + 0]
4 + -4x = 3[8]

Multiply 3 * 8
4 + -4x = 24

Solving
4 + -4x = 24

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 + -4x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 24 + -4
-4x = 24 + -4

Combine like terms: 24 + -4 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5