Step 1: Distribute the 24 to the terms inside the parentheses.
Reason: This step is necessary to eliminate the parentheses and simplify the equation. By distributing the 24, we can multiply it by both terms inside the parentheses.
Step 2: Multiply 24 by 34 and x separately.
Reason: After distributing the 24, we now have two terms: 24 multiplied by 34 and 24 multiplied by x. These terms need to be simplified separately before continuing with the equation.
Step 3: Simplify the equation by adding the products from step 2.
Reason: Now that we have simplified both terms, we can add them together to form a single equation. This step helps to bring the equation closer to its simplest form.
Step 4: Set the equation equal to 1,200.
Reason: This step is necessary to set up the equation to be solved. By setting the equation equal to 1,200, we are essentially stating that the sum of the products from step 3 is equal to 1,200.
Step 5: Solve for x.
Reason: This step is the ultimate goal of the equation. By solving for x, we can find the value that makes the equation true. This final step requires algebraic manipulation to isolate the variable x.
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Question
To solve the equation: 24(34+x)=1,200
, give the reasons for each of the given steps.
1 answer