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

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


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

Reorder the terms:
5(2 + 3x) = 2(y + -5)
(2 * 5 + 3x * 5) = 2(y + -5)
(10 + 15x) = 2(y + -5)

Reorder the terms:
10 + 15x = 2(-5 + y)
10 + 15x = (-5 * 2 + y * 2)
10 + 15x = (-10 + 2y)

Solving
10 + 15x = -10 + 2y

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 + 15x = -10 + -10 + 2y

Combine like terms: 10 + -10 = 0
0 + 15x = -10 + -10 + 2y
15x = -10 + -10 + 2y

Combine like terms: -10 + -10 = -20
15x = -20 + 2y

Divide each side by '15'.
x = -1.333333333 + 0.1333333333y

Simplifying
x = -1.333333333 + 0.1333333333y

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