6x-3(x-5)=5(x+3)

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Solution for 6x-3(x-5)=5(x+3) equation:


Simplifying
6x + -3(x + -5) = 5(x + 3)

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

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

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