-4(3x-2)-x=-11(x-1)

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Solution for -4(3x-2)-x=-11(x-1) equation:


Simplifying
-4(3x + -2) + -1x = -11(x + -1)

Reorder the terms:
-4(-2 + 3x) + -1x = -11(x + -1)
(-2 * -4 + 3x * -4) + -1x = -11(x + -1)
(8 + -12x) + -1x = -11(x + -1)

Combine like terms: -12x + -1x = -13x
8 + -13x = -11(x + -1)

Reorder the terms:
8 + -13x = -11(-1 + x)
8 + -13x = (-1 * -11 + x * -11)
8 + -13x = (11 + -11x)

Solving
8 + -13x = 11 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
8 + -13x + 11x = 11 + -11x + 11x

Combine like terms: -13x + 11x = -2x
8 + -2x = 11 + -11x + 11x

Combine like terms: -11x + 11x = 0
8 + -2x = 11 + 0
8 + -2x = 11

Add '-8' to each side of the equation.
8 + -8 + -2x = 11 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 11 + -8
-2x = 11 + -8

Combine like terms: 11 + -8 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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