5(x-1)-2x=-2(x-3)

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Solution for 5(x-1)-2x=-2(x-3) equation:


Simplifying
5(x + -1) + -2x = -2(x + -3)

Reorder the terms:
5(-1 + x) + -2x = -2(x + -3)
(-1 * 5 + x * 5) + -2x = -2(x + -3)
(-5 + 5x) + -2x = -2(x + -3)

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

Reorder the terms:
-5 + 3x = -2(-3 + x)
-5 + 3x = (-3 * -2 + x * -2)
-5 + 3x = (6 + -2x)

Solving
-5 + 3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-5 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 5x = 6 + 0
-5 + 5x = 6

Add '5' to each side of the equation.
-5 + 5 + 5x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 6 + 5
5x = 6 + 5

Combine like terms: 6 + 5 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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