3(x-1)=-1(x-5)

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Solution for 3(x-1)=-1(x-5) equation:


Simplifying
3(x + -1) = -1(x + -5)

Reorder the terms:
3(-1 + x) = -1(x + -5)
(-1 * 3 + x * 3) = -1(x + -5)
(-3 + 3x) = -1(x + -5)

Reorder the terms:
-3 + 3x = -1(-5 + x)
-3 + 3x = (-5 * -1 + x * -1)
-3 + 3x = (5 + -1x)

Solving
-3 + 3x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 3x + x = 5 + -1x + x

Combine like terms: 3x + x = 4x
-3 + 4x = 5 + -1x + x

Combine like terms: -1x + x = 0
-3 + 4x = 5 + 0
-3 + 4x = 5

Add '3' to each side of the equation.
-3 + 3 + 4x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 5 + 3
4x = 5 + 3

Combine like terms: 5 + 3 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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