Question

Slove the equation3 (c + 5) - 7 = 23

Answer 1

Given the following equation:

$3(c+5)-7=23​$

Step 1. You must apply the Distributive property:

$\begin{gathered} (3)(c)+(3)(5)-7=23​ \\ 3c+15-7=23 \end{gathered}$

Step 2. Solve the subtraction:

$3c+8=23$

Step 3. Apply the Subtraction property of equality by subtracting 8 from both sides of the equation:

$\begin{gathered} 3c+8-(8)=23-(8) \\ 3c=15 \end{gathered}$

Step 4. Apply the Division property of equality by dividing both sides of the equation by 3:

$\frac{3c}{3}=\frac{15}{3}$

The solution is:

$c=5$