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

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


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

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

Solving
3 + -3x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + -3x + -12x = -12 + 12x + -12x

Combine like terms: -3x + -12x = -15x
3 + -15x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -15x = -12 + 0
3 + -15x = -12

Add '-3' to each side of the equation.
3 + -3 + -15x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = -12 + -3
-15x = -12 + -3

Combine like terms: -12 + -3 = -15
-15x = -15

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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