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

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


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

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

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

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

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

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

Solving
3x = 5x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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