4(2x-3y)=-5(x+3y)

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Solution for 4(2x-3y)=-5(x+3y) equation:


Simplifying
4(2x + -3y) = -5(x + 3y)
(2x * 4 + -3y * 4) = -5(x + 3y)
(8x + -12y) = -5(x + 3y)
8x + -12y = (x * -5 + 3y * -5)
8x + -12y = (-5x + -15y)

Solving
8x + -12y = -5x + -15y

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.
8x + 5x + -12y = -5x + 5x + -15y

Combine like terms: 8x + 5x = 13x
13x + -12y = -5x + 5x + -15y

Combine like terms: -5x + 5x = 0
13x + -12y = 0 + -15y
13x + -12y = -15y

Add '12y' to each side of the equation.
13x + -12y + 12y = -15y + 12y

Combine like terms: -12y + 12y = 0
13x + 0 = -15y + 12y
13x = -15y + 12y

Combine like terms: -15y + 12y = -3y
13x = -3y

Divide each side by '13'.
x = -0.2307692308y

Simplifying
x = -0.2307692308y

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