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

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


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

Reorder the terms:
5(-3 + x) = 2(3 + -1x)
(-3 * 5 + x * 5) = 2(3 + -1x)
(-15 + 5x) = 2(3 + -1x)
-15 + 5x = (3 * 2 + -1x * 2)
-15 + 5x = (6 + -2x)

Solving
-15 + 5x = 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.
-15 + 5x + 2x = 6 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-15 + 7x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 7x = 6 + 0
-15 + 7x = 6

Add '15' to each side of the equation.
-15 + 15 + 7x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 6 + 15
7x = 6 + 15

Combine like terms: 6 + 15 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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