3(w-2)=9w+4-2(-4w-3)

Solution for 3(w-2)=9w+4-2(-4w-3) equation:

Simplifying
3(w + -2) = 9w + 4 + -2(-4w + -3)

Reorder the terms:
3(-2 + w) = 9w + 4 + -2(-4w + -3)
(-2 * 3 + w * 3) = 9w + 4 + -2(-4w + -3)
(-6 + 3w) = 9w + 4 + -2(-4w + -3)

Reorder the terms:
-6 + 3w = 9w + 4 + -2(-3 + -4w)
-6 + 3w = 9w + 4 + (-3 * -2 + -4w * -2)
-6 + 3w = 9w + 4 + (6 + 8w)

Reorder the terms:
-6 + 3w = 4 + 6 + 9w + 8w

Combine like terms: 4 + 6 = 10
-6 + 3w = 10 + 9w + 8w

Combine like terms: 9w + 8w = 17w
-6 + 3w = 10 + 17w

Solving
-6 + 3w = 10 + 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 = 10 + 17w + -17w

Combine like terms: 3w + -17w = -14w
-6 + -14w = 10 + 17w + -17w

Combine like terms: 17w + -17w = 0
-6 + -14w = 10 + 0
-6 + -14w = 10

Add '6' to each side of the equation.
-6 + 6 + -14w = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -14w = 10 + 6
-14w = 10 + 6

Combine like terms: 10 + 6 = 16
-14w = 16

Divide each side by '-14'.
w = -1.142857143

Simplifying
w = -1.142857143