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

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


Simplifying
5(x + 3y) = 2x + -3
(x * 5 + 3y * 5) = 2x + -3
(5x + 15y) = 2x + -3

Reorder the terms:
5x + 15y = -3 + 2x

Solving
5x + 15y = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5x + -2x + 15y = -3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x + 15y = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x + 15y = -3 + 0
3x + 15y = -3

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

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

Divide each side by '3'.
x = -1 + -5y

Simplifying
x = -1 + -5y

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