(10x-3y)=(5x+2y)

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Solution for (10x-3y)=(5x+2y) equation:


Simplifying
(10x + -3y) = (5x + 2y)

Remove parenthesis around (10x + -3y)
10x + -3y = (5x + 2y)

Remove parenthesis around (5x + 2y)
10x + -3y = 5x + 2y

Solving
10x + -3y = 5x + 2y

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.
10x + -5x + -3y = 5x + -5x + 2y

Combine like terms: 10x + -5x = 5x
5x + -3y = 5x + -5x + 2y

Combine like terms: 5x + -5x = 0
5x + -3y = 0 + 2y
5x + -3y = 2y

Add '3y' to each side of the equation.
5x + -3y + 3y = 2y + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 2y + 3y
5x = 2y + 3y

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

Divide each side by '5'.
x = y

Simplifying
x = y

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