Question

Solve for x: 2(x−2) − 3(x−3) = 5(x−5)

Answer 1

Answer:

x−3x−2+x−5x−4=310

⇒(x−3)(x−5)(x−2)(x−5)+(x−3)(x−4)=310

⇒x2−8x+15x2−7x+10+x2−7x+12=310

⇒x2−8x+152x2−14x+22=310

⇒3(2x2−14x+22)=10(x2−8x+15)

⇒6x2−42x+66=10x2−80x+150

⇒10x2−80x+150−6x2+42x−66=0

⇒4x2−38x+84=0

⇒2x2−19x+42=0

⇒x=2×219±192−4×2×42

⇒x=419±25

⇒x=419±5

⇒x=419+5,419−5

∴x=424,414

∴x=6,27

Answer 2

Answer:

2(x-2)-3(x-3)=5(x-5)

2x-4-3x+9=5x-25

-x-5x=-9+4-25

-6x=-30

x=5

hope it helps you.