x-5=-3(x-1)

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


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

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

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

Solving
-5 + x = 3 + -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.
-5 + x + 3x = 3 + -3x + 3x

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

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

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

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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