To solve the equation:
8/9(x+1/2) = 32/3
First, distribute the 8/9 to the terms inside the parentheses:
(8/9)(x) + (8/9)(1/2) = 32/3
Simplify the right side:
(8/9)(x) + 4/9 = 32/3
To eliminate a fraction, multiply both sides of the equation by 9:
(9)((8/9)(x) + 4/9) = (9)(32/3)
Simplify both sides:
8x + 4 = 96/3
Multiply on the right side:
8x + 4 = 32
Subtract 4 from both sides:
8x = 32 - 4 = 28
Divide both sides by 8:
(8x)/8 = 28/8
Simplify:
x = 3.5