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

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


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

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

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

Reorder the terms:
3 + -3x = -12 + -3 + 3x

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

Solving
3 + -3x = -15 + 3x

Solving for variable 'x'.

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

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

Combine like terms: -3x + -3x = -6x
3 + -6x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -6x = -15 + 0
3 + -6x = -15

Add '-3' to each side of the equation.
3 + -3 + -6x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -15 + -3
-6x = -15 + -3

Combine like terms: -15 + -3 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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