3(x-5)=30-2x

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Solution for 3(x-5)=30-2x equation: 


Simplifying
3(x + -5) = 30 + -2x

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

Solving
-15 + 3x = 30 + -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 + 3x + 2x = 30 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-15 + 5x = 30 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 5x = 30 + 0
-15 + 5x = 30

Add '15' to each side of the equation.
-15 + 15 + 5x = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 30 + 15
5x = 30 + 15

Combine like terms: 30 + 15 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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