6(5w-2)=3(2w+1)-3

Solution for 6(5w-2)=3(2w+1)-3 equation:

Simplifying
6(5w + -2) = 3(2w + 1) + -3

Reorder the terms:
6(-2 + 5w) = 3(2w + 1) + -3
(-2 * 6 + 5w * 6) = 3(2w + 1) + -3
(-12 + 30w) = 3(2w + 1) + -3

Reorder the terms:
-12 + 30w = 3(1 + 2w) + -3
-12 + 30w = (1 * 3 + 2w * 3) + -3
-12 + 30w = (3 + 6w) + -3

Reorder the terms:
-12 + 30w = 3 + -3 + 6w

Combine like terms: 3 + -3 = 0
-12 + 30w = 0 + 6w
-12 + 30w = 6w

Solving
-12 + 30w = 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-12 + 30w + -6w = 6w + -6w

Combine like terms: 30w + -6w = 24w
-12 + 24w = 6w + -6w

Combine like terms: 6w + -6w = 0
-12 + 24w = 0

Add '12' to each side of the equation.
-12 + 12 + 24w = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 24w = 0 + 12
24w = 0 + 12

Combine like terms: 0 + 12 = 12
24w = 12

Divide each side by '24'.
w = 0.5

Simplifying
w = 0.5