Answer:
w = 6 makes the equation true.
Step-by-step 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.
Answer:
w = 6
Step-by-step 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
