5(x+6)-2x=5y-3y

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Solution for 5(x+6)-2x=5y-3y equation:


Simplifying
5(x + 6) + -2x = 5y + -3y

Reorder the terms:
5(6 + x) + -2x = 5y + -3y
(6 * 5 + x * 5) + -2x = 5y + -3y
(30 + 5x) + -2x = 5y + -3y

Combine like terms: 5x + -2x = 3x
30 + 3x = 5y + -3y

Combine like terms: 5y + -3y = 2y
30 + 3x = 2y

Solving
30 + 3x = 2y

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 3x = -30 + 2y

Combine like terms: 30 + -30 = 0
0 + 3x = -30 + 2y
3x = -30 + 2y

Divide each side by '3'.
x = -10 + 0.6666666667y

Simplifying
x = -10 + 0.6666666667y

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