2(6w-3)=3(5w-2)

Solution for 2(6w-3)=3(5w-2) equation:

Simplifying
2(6w + -3) = 3(5w + -2)

Reorder the terms:
2(-3 + 6w) = 3(5w + -2)
(-3 * 2 + 6w * 2) = 3(5w + -2)
(-6 + 12w) = 3(5w + -2)

Reorder the terms:
-6 + 12w = 3(-2 + 5w)
-6 + 12w = (-2 * 3 + 5w * 3)
-6 + 12w = (-6 + 15w)

Add '6' to each side of the equation.
-6 + 6 + 12w = -6 + 6 + 15w

Combine like terms: -6 + 6 = 0
0 + 12w = -6 + 6 + 15w
12w = -6 + 6 + 15w

Combine like terms: -6 + 6 = 0
12w = 0 + 15w
12w = 15w

Solving
12w = 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
12w + -15w = 15w + -15w

Combine like terms: 12w + -15w = -3w
-3w = 15w + -15w

Combine like terms: 15w + -15w = 0
-3w = 0

Divide each side by '-3'.
w = 0

Simplifying
w = 0