5(3x-6)=5(-2x+4)

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Solution for 5(3x-6)=5(-2x+4) equation:


Simplifying
5(3x + -6) = 5(-2x + 4)

Reorder the terms:
5(-6 + 3x) = 5(-2x + 4)
(-6 * 5 + 3x * 5) = 5(-2x + 4)
(-30 + 15x) = 5(-2x + 4)

Reorder the terms:
-30 + 15x = 5(4 + -2x)
-30 + 15x = (4 * 5 + -2x * 5)
-30 + 15x = (20 + -10x)

Solving
-30 + 15x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-30 + 15x + 10x = 20 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-30 + 25x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
-30 + 25x = 20 + 0
-30 + 25x = 20

Add '30' to each side of the equation.
-30 + 30 + 25x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 25x = 20 + 30
25x = 20 + 30

Combine like terms: 20 + 30 = 50
25x = 50

Divide each side by '25'.
x = 2

Simplifying
x = 2

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