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

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


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

Reorder the terms:
5(2 + x) = 3(y + -2)
(2 * 5 + x * 5) = 3(y + -2)
(10 + 5x) = 3(y + -2)

Reorder the terms:
10 + 5x = 3(-2 + y)
10 + 5x = (-2 * 3 + y * 3)
10 + 5x = (-6 + 3y)

Solving
10 + 5x = -6 + 3y

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = -6 + -10 + 3y

Combine like terms: 10 + -10 = 0
0 + 5x = -6 + -10 + 3y
5x = -6 + -10 + 3y

Combine like terms: -6 + -10 = -16
5x = -16 + 3y

Divide each side by '5'.
x = -3.2 + 0.6y

Simplifying
x = -3.2 + 0.6y

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