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

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


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

Reorder the terms:
3(-3 + x) = x + -3(x + -5)
(-3 * 3 + x * 3) = x + -3(x + -5)
(-9 + 3x) = x + -3(x + -5)

Reorder the terms:
-9 + 3x = x + -3(-5 + x)
-9 + 3x = x + (-5 * -3 + x * -3)
-9 + 3x = x + (15 + -3x)

Reorder the terms:
-9 + 3x = 15 + x + -3x

Combine like terms: x + -3x = -2x
-9 + 3x = 15 + -2x

Solving
-9 + 3x = 15 + -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.
-9 + 3x + 2x = 15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = 15 + 0
-9 + 5x = 15

Add '9' to each side of the equation.
-9 + 9 + 5x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 15 + 9
5x = 15 + 9

Combine like terms: 15 + 9 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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