To solve the equation:
8/9(x+12) = 32/3
First, distribute the 8/9 to the terms inside the parentheses:
(8/9) * x + (8/9) * 12 = 32/3
On the left side, multiply 8/9 with x:
(8/9) * x + 96/9 = 32/3
Simplify the left side:
(8/9) * x + 96/9 = 32/3
Multiply 8/9 with x:
(8/9) * x + 96/9 = 32/3
Multiply 8/9 with 32:
(8/9) * x + 96/9 = 32/3
(256/9) + 96/9 = 32/3
Combine the two fractions on the left side:
(256 + 96)/9 = 32/3
352/9 = 32/3
To compare these fractions, we need to have the same denominators. The least common denominator for 9 and 3 is 9. Therefore, we need to multiply both sides of the equation by 9:
(352/9) * 9 = (32/3) * 9
Simplify:
352 = 96
This is not a true statement, so the equation has no solution.
What is the solution of the equation 8/9(x+12)=32/3 when solving for x ?
1 answer
1 answer