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

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Solution for 5(x-1)-3x=-(x-4) equation:


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

Reorder the terms:
5(-1 + x) + -3x = -1(x + -4)
(-1 * 5 + x * 5) + -3x = -1(x + -4)
(-5 + 5x) + -3x = -1(x + -4)

Combine like terms: 5x + -3x = 2x
-5 + 2x = -1(x + -4)

Reorder the terms:
-5 + 2x = -1(-4 + x)
-5 + 2x = (-4 * -1 + x * -1)
-5 + 2x = (4 + -1x)

Solving
-5 + 2x = 4 + -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.
-5 + 2x + x = 4 + -1x + x

Combine like terms: 2x + x = 3x
-5 + 3x = 4 + -1x + x

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

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

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

Combine like terms: 4 + 5 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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