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

1 Answer

3 votes

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

Final answer

x = 5

User Bernd Rabe
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