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

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


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

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

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

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

Reorder the terms:
-15 + 6x = x + 3(-5 + x)
-15 + 6x = x + (-5 * 3 + x * 3)
-15 + 6x = x + (-15 + 3x)

Reorder the terms:
-15 + 6x = -15 + x + 3x

Combine like terms: x + 3x = 4x
-15 + 6x = -15 + 4x

Add '15' to each side of the equation.
-15 + 15 + 6x = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
0 + 6x = -15 + 15 + 4x
6x = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
6x = 0 + 4x
6x = 4x

Solving
6x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6x + -4x = 4x + -4x

Combine like terms: 6x + -4x = 2x
2x = 4x + -4x

Combine like terms: 4x + -4x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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