Question

solve the equation. $\frac{1}{2}(x + 9) - 3 = 7$

Explanation:

Step1: Isolate the fractional term

Add 3 to both sides of the equation.
$\frac{1}{2}(x + 9) - 3 + 3 = 7 + 3$
$\frac{1}{2}(x + 9) = 10$

Step2: Eliminate the fraction

Multiply both sides by 2.
$2 \times \frac{1}{2}(x + 9) = 10 \times 2$
$x + 9 = 20$

Step3: Solve for x

Subtract 9 from both sides.
$x + 9 - 9 = 20 - 9$
$x = 11$

Answer:

$x = 11$