3x-5=3(5-x)

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


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

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

Solving
-5 + 3x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + 3x + 3x = 15 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-5 + 6x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 6x = 15 + 0
-5 + 6x = 15

Add '5' to each side of the equation.
-5 + 5 + 6x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 15 + 5
6x = 15 + 5

Combine like terms: 15 + 5 = 20
6x = 20

Divide each side by '6'.
x = 3.333333333

Simplifying
x = 3.333333333

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