Question

Hat value of w makes the equation -4w + 8(-2w + 5) = 5(-3w + 2) true?

Answer 1

w = 6

Explanation:

- 4w + 8(- 2w + 5) = 5(- 3w + 2) ← distribute parenthesis on both sides

- 4w - 16w + 40 = - 15w + 10

- 20w + 40 = - 15w + 10 ( add 15w to both sides )

- 5w + 40 = 10 ( subtract 40 from both sides )

- 5w = - 30 ( divide both sides by - 5 )

w = 6

Answer 2

w = 6 makes the equation true.

Explanation:

-4w + 8(-2w + 5) = 5(-3w + 2)

Distribute the 8 and the 5.

-4w - 16w + 40 = -15w + 10

Combine like terms.

-20w + 40 = -15w + 10

Add 15w to both sides.

-5w + 40 = 10

Subtract 40 from both sides.

-5w = -30

Divide both sides by -5.

w = 6

Proof:

-4w + 8(-2w + 5) = 5(-3w + 2)

Substitute variable.

-4(6) + 8(-2(6) + 5) = 5(-3(6) + 2)

Multiply inside parenthesis.

-4(6) + 8(-12 + 5) = 5(-18 + 2)

Add inside parenthesis.

-4(6) + 8(-7) = 5(-16)

Multiply.

-24 - 56 = -80

Subtract.

-80 = -80.