6(x-1)=3(5y-2)

Solution for 6(x-1)=3(5y-2) equation:

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 6x = -6 + 6 + 15y

Combine like terms: -6 + 6 = 0
0 + 6x = -6 + 6 + 15y
6x = -6 + 6 + 15y

Combine like terms: -6 + 6 = 0
6x = 0 + 15y
6x = 15y

Solving
6x = 15y

Solving for variable 'x'.

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

Divide each side by '6'.
x = 2.5y

Simplifying
x = 2.5y