What is the solution of the equation 8/9(x+12)=32/3 when solving for x ?(1 point)

Answer 1

To solve for x, we need to isolate the variable x on one side of the equation. We can do this by performing the following steps:

1. Multiply both sides of the equation by 9 to eliminate the denominator of the left side: (8/9)(x + 12) * 9 = (32/3) * 9,
which simplifies to: 8(x + 12) = 96.

2. Distribute 8 to the terms inside the parentheses on the left side of the equation: 8x + 96 = 96.

3. Subtract 96 from both sides of the equation to isolate the x term: 8x + 96 - 96 = 96 - 96,
which simplifies to: 8x = 0.

4. Divide both sides of the equation by 8 to solve for x: (8x)/8 = 0/8,
which simplifies to: x = 0.

Therefore, the solution of the equation 8/9(x+12) = 32/3 when solving for x is x = 0.