Question

What is the solution to the equation 6x - 5 = 25?

Answer 1

Solution

Step 1

Write the equation

$6x\text{ - 5 = 25}$

Step 2

Apply the addition equality theorem

$\begin{gathered} 6x\text{ - 5 = 25} \\ \\ Add\text{ 5 to both sides:} \\ \\ 6x-5+5=25+5 \\ \\ 6x\text{ = 30} \end{gathered}$

Step 3

Use the division equality theorem:

$\begin{gathered} 6x\text{ = 30} \\ \\ Divide\text{ both sides by 6} \\ \\ \frac{6x}{6}\text{ = }\frac{30}{6} \\ \\ x\text{ = 5} \end{gathered}$

Final answer

x = 5