Question

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

Answer 1

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} \\ \\ (6x)/(6)\text{ = }(30)/(6) \\ \\ x\text{ = 5} \end{gathered}`

Final answer

x = 5