Question

(x + 3) ÷ 2 - (3x +1) ÷ 4 = 2(x -2)÷3 - 2​

Answer 1

Answer:

x=5

Step-by-step explanation:

(x+3)÷2−(3x+1)÷4=2(x−2)÷3−2

Multiply both sides of the equation by 12, the least common multiple of 2,4,3.

6(x+3)−3(3x+1)=4×2(x−2)−24

Use the distributive property to multiply 6 by x+3.

6x+18−3(3x+1)=4×2(x−2)−24

Use the distributive property to multiply −3 by 3x+1.

6x+18−9x−3=4×2(x−2)−24

Combine 6x and −9x to get −3x.

−3x+18−3=4×2(x−2)−24

Subtract 3 from 18 to get 15.

−3x+15=4×2(x−2)−24

Multiply 4 and 2 to get 8.

−3x+15=8(x−2)−24

Use the distributive property to multiply 8 by x−2.

−3x+15=8x−16−24

Subtract 24 from −16 to get −40.

−3x+15=8x−40

Subtract 8x from both sides.

−3x+15−8x=−40

Combine −3x and −8x to get −11x.

−11x+15=−40

Subtract 15 from both sides.

−11x=−40−15

Subtract 15 from −40 to get −55.

−11x=−55

Divide both sides by −11.

x=  

−11

−55

​Divide −55 by −11 to get 5.

x=5