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

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


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

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

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

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

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

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

Solving
5x = 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.
5x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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