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

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

Simplifying
3(5x + 2) + -1x = 2(y + -3)

Reorder the terms:
3(2 + 5x) + -1x = 2(y + -3)
(2 * 3 + 5x * 3) + -1x = 2(y + -3)
(6 + 15x) + -1x = 2(y + -3)

Combine like terms: 15x + -1x = 14x
6 + 14x = 2(y + -3)

Reorder the terms:
6 + 14x = 2(-3 + y)
6 + 14x = (-3 * 2 + y * 2)
6 + 14x = (-6 + 2y)

Solving
6 + 14x = -6 + 2y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 14x = -6 + -6 + 2y

Combine like terms: 6 + -6 = 0
0 + 14x = -6 + -6 + 2y
14x = -6 + -6 + 2y

Combine like terms: -6 + -6 = -12
14x = -12 + 2y

Divide each side by '14'.
x = -0.8571428571 + 0.1428571429y

Simplifying
x = -0.8571428571 + 0.1428571429y