Can you solvefor x 3 (x+4) + 5x=-20

Question

Rylan Hendrix

Mathematics

8 June, 09:02

Can you solvefor x 3 (x+4) + 5x=-20

+2

Answers (1)

Know the Answer?

Caprice · Answer 1

Solve for x:5 x + 3 (x + 4) = - 20

3 (x + 4) = 3 x + 12:3 x + 12 + 5 x = - 20

Grouping like terms, 5 x + 3 x + 12 = (5 x + 3 x) + 12: (5 x + 3 x) + 12 = - 20

5 x + 3 x = 8 x:8 x + 12 = - 20

Subtract 12 from both sides:8 x + (12 - 12) = - 12 - 20

12 - 12 = 0:8 x = - 20 - 12

-20 - 12 = - 32:8 x = - 32

Divide both sides of 8 x = - 32 by 8: (8 x) / 8 = (-32) / 8

8/8 = 1:x = (-32) / 8

The gcd of - 32 and 8 is 8, so (-32) / 8 = (8 (-4)) / (8*1) = 8/8*-4 = - 4:Answer: x = - 4