To solve the equation, we will first distribute 8/9 to (x + 1/2):
8/9(x + 1/2) = 32/3
(8/9)x + (8/9)(1/2) = 32/3
8/9x + 4/9 = 32/3
Next, we will subtract 4/9 from both sides:
8/9x + 4/9 - 4/9 = 32/3 - 4/9
8/9x = 32/3 - 4/9
8/9x = (32/3)(3/3) - 4/9
8/9x = 96/9 - 4/9
8/9x = 92/9
To isolate x, we will multiply both sides by the reciprocal of 8/9, which is 9/8:
(9/8)(8/9x) = (9/8)(92/9)
x = 828/72 or simplified, x = 23/2.
What is the solution of the equation 8/9(x + 1/2)= 32/3 when solving for x?
1 answer
1 answer