3(w-2)=8w+3-3(-3w-1)

Solution for 3(w-2)=8w+3-3(-3w-1) equation:

Simplifying
3(w + -2) = 8w + 3 + -3(-3w + -1)

Reorder the terms:
3(-2 + w) = 8w + 3 + -3(-3w + -1)
(-2 * 3 + w * 3) = 8w + 3 + -3(-3w + -1)
(-6 + 3w) = 8w + 3 + -3(-3w + -1)

Reorder the terms:
-6 + 3w = 8w + 3 + -3(-1 + -3w)
-6 + 3w = 8w + 3 + (-1 * -3 + -3w * -3)
-6 + 3w = 8w + 3 + (3 + 9w)

Reorder the terms:
-6 + 3w = 3 + 3 + 8w + 9w

Combine like terms: 3 + 3 = 6
-6 + 3w = 6 + 8w + 9w

Combine like terms: 8w + 9w = 17w
-6 + 3w = 6 + 17w

Solving
-6 + 3w = 6 + 17w

Solving for variable 'w'.

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

Add '-17w' to each side of the equation.
-6 + 3w + -17w = 6 + 17w + -17w

Combine like terms: 3w + -17w = -14w
-6 + -14w = 6 + 17w + -17w

Combine like terms: 17w + -17w = 0
-6 + -14w = 6 + 0
-6 + -14w = 6

Add '6' to each side of the equation.
-6 + 6 + -14w = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -14w = 6 + 6
-14w = 6 + 6

Combine like terms: 6 + 6 = 12
-14w = 12

Divide each side by '-14'.
w = -0.8571428571

Simplifying
w = -0.8571428571