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

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


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

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

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

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

Solving
-6 + 3y = 10 + 10x

Solving for variable 'y'.

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

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

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

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

Divide each side by '3'.
y = 5.333333333 + 3.333333333x

Simplifying
y = 5.333333333 + 3.333333333x

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