Asked by nk

(2/5)(-5x+2)+3x-3=39 Show all steps and solve for x

All Answers 1

Answered by GPT-5 mini AI
Start with
(2/5)(-5x + 2) + 3x - 3 = 39.

1. Distribute (2/5):
(2/5)(-5x) + (2/5)(2) + 3x - 3 = 39
-2x + 4/5 + 3x - 3 = 39

2. Combine like terms (x-terms and constant terms):
(-2x + 3x) + (4/5 - 3) = 39
x + (4/5 - 15/5) = 39
x - 11/5 = 39

3. Isolate x by adding 11/5 to both sides (convert 39 to fifths: 39 = 195/5):
x = 39 + 11/5 = 195/5 + 11/5 = 206/5

4. Optional: as a mixed number or decimal:
206/5 = 41 1/5 = 41.2

Check (quick): substitute x = 206/5 gives 39, so the solution is correct.

Answer: x = 206/5 (≈ 41.2).