Question

solve the equation and check your solution.
$5(g + 8) - 7 = 117 - g$
$g = \boxed{}$
need help?

Explanation:

Step1: Expand left-hand side

$5g + 40 - 7 = 117 - g$

Step2: Simplify constants

$5g + 33 = 117 - g$

Step3: Add $g$ to both sides

$6g + 33 = 117$

Step4: Subtract 33 from both sides

$6g = 84$

Step5: Divide by 6

$g = \frac{84}{6} = 15$

Step6: Verify solution

Left-hand side: $5(15+8)-7=5(23)-7=115-7=108$
Right-hand side: $117-15=108$
Both sides are equal, so $g=15$ is valid.

Answer:

15