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

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


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

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

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

Solving
-5 + 5x = 6 + -6x

Solving for variable 'x'.

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

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

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

Combine like terms: -6x + 6x = 0
-5 + 11x = 6 + 0
-5 + 11x = 6

Add '5' to each side of the equation.
-5 + 5 + 11x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 6 + 5
11x = 6 + 5

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

Divide each side by '11'.
x = 1

Simplifying
x = 1

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