QuestionSolve the following equation and check your solution. (Simplify your answer.)
Studdy Solution
STEP 1
1. The equation is .
2. We need to solve for the variable .
3. The equation involves distributing and combining like terms.
STEP 2
1. Distribute the 12 across the terms inside the parentheses.
2. Combine like terms.
3. Isolate the variable .
4. Solve for .
5. Check the solution by substituting it back into the original equation.
STEP 3
Distribute the 12 across the terms inside the parentheses:
This becomes:
STEP 4
Combine like terms on the left side of the equation:
This simplifies to:
STEP 5
Add 132 to both sides of the equation to isolate the terms with :
This simplifies to:
STEP 6
Divide both sides by to solve for :
Simplify the fraction:
STEP 7
Check the solution by substituting back into the original equation:
Calculate each term:
The left-hand side equals the right-hand side, confirming the solution is correct.
The solution is:
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