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

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


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

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

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

Combine like terms: -1 + 1 = 0
-12 + 3x = 0 + -3x
-12 + 3x = -3x

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

Combine like terms: 3x + 3x = 6x
-12 + 6x = -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 6x = 0

Add '12' to each side of the equation.
-12 + 12 + 6x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 0 + 12
6x = 0 + 12

Combine like terms: 0 + 12 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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