152=2w+2(w*3)

Solution for 152=2w+2(w*3) equation:

Simplifying
152 = 2w + 2(w * 3)

Reorder the terms for easier multiplication:
152 = 2w + 2(3w)

Remove parenthesis around (3w)
152 = 2w + 2 * 3w

Multiply 2 * 3
152 = 2w + 6w

Combine like terms: 2w + 6w = 8w
152 = 8w

Solving
152 = 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
152 + -8w = 8w + -8w

Combine like terms: 8w + -8w = 0
152 + -8w = 0

Add '-152' to each side of the equation.
152 + -152 + -8w = 0 + -152

Combine like terms: 152 + -152 = 0
0 + -8w = 0 + -152
-8w = 0 + -152

Combine like terms: 0 + -152 = -152
-8w = -152

Divide each side by '-8'.
w = 19

Simplifying
w = 19