What is the value of x in the equation 9/10 (x + 2/3)=4 1/2

Get the x variable on one side and the numbers another side.

9/10(x + 2/3) = 4 1/2

Distribute the 9/10 across the x and 2/3.

(9/10)x + 18/30 = 4 1/2

Simplify 18/30 to make our life easier.

(9/10)x + 3/5 = 4 1/2

Subtract 3/5 from each side of the equation.

(9/10)x = 3 9/10

Divide both sides by 9/10.

x = 4 1/3