Question

consider this equation. $\frac{5}{8}(x+\frac{1}{2}) = 100$. correctly order the steps used to solve this equation. (2 points) step 1: step 2: multiply both sides of the equation by subtract from both sides of the equations. divide both sides of the equation by divide both sides of the equation by add to both sides of the equations.

Explanation:

Step1: Isolate the parenthesis term

Multiply both sides of the equation by $\frac{8}{5}$. So we get $x+\frac{1}{2}=100\times\frac{8}{5}=160$.

Step2: Solve for x

Subtract $\frac{1}{2}$ from both sides of the equation. So $x = 160-\frac{1}{2}=\frac{320 - 1}{2}=\frac{319}{2}=159.5$.

Answer:

Step 1: Multiply both sides of the equation by $\frac{8}{5}$.
Step 2: Subtract $\frac{1}{2}$ from both sides of the equation.