Question

Solve the equation below.

|6w+4|=2w-10

Answer 1

w=-3.5
6w+4=2w-10
6w-2w=4w
4w+4=-10
-10-4=-14
-14/4=-3.5

Answer 2

Simplifying
6w + 4 = 2w + -10
Reorder the terms: 4 + 6w = 2w + -10
Reorder the terms: 4 + 6w = -10 + 2w
Solving
4 + 6w = -10 + 2w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-2w' to each side of the equation.
4 + 6w + -2w = -10 + 2w + -2w
Combine like terms: 6w + -2w = 4w4 + 4w = -10 + 2w + -2w
Combine like terms: 2w + -2w = 04 + 4w = -10 + 04 + 4w = -10
Add '-4' to each side of the equation.
4 + -4 + 4w = -10 + -4
Combine like terms: 4 + -4 = 00 + 4w = -10 + -44w = -10 + -4
Combine like terms: -10 + -4 = -144w = -14
Divide each side by '4'.w = -3.5
Simplifyingw = -3.5