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

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


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

Reorder the terms:
5x + 2y = 3(-2 + 4y)
5x + 2y = (-2 * 3 + 4y * 3)
5x + 2y = (-6 + 12y)

Solving
5x + 2y = -6 + 12y

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
5x + 2y + -2y = -6 + 12y + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = -6 + 12y + -2y
5x = -6 + 12y + -2y

Combine like terms: 12y + -2y = 10y
5x = -6 + 10y

Divide each side by '5'.
x = -1.2 + 2y

Simplifying
x = -1.2 + 2y

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