24(34+x)=1,200
, give the reasons for each of the given steps.
What was done to the previous step to get to the current equation?
(1 point)
Step 1: 816+24x=1,200
Step 2: 816−816+24x=1,200 − 816
Step 3: 24x=384
Step 4: x=16
To move from step 1 to step 2, the equation was simplified by subtracting 816 from both sides. This was done to isolate the term with the variable on one side of the equation.
To move from step 2 to step 3, the equation was further simplified by performing the subtraction on the left side. This was done to remove the constant term from the left side of the equation and keep only the term with the variable.
To move from step 3 to step 4, the equation was solved for x by dividing both sides by 24. This was done to isolate the variable and find its value.
Step 1: 816+24x=1,200
In this step, we start with the original equation 24(34+x)=1,200. To simplify the equation, we first distribute the 24 to both terms inside the parentheses, which gives us 816 + 24x on the left side.
Step 2: 816−816+24x=1,200−816
In this step, we subtract 816 from both sides of the equation to isolate the term 24x. On the left side, 816 - 816 simplifies to 0, so we are left with 24x = 1,200 - 816.
Step 3: 24x=384
In this step, we simplify the right side of the equation. 1,200 - 816 simplifies to 384.
Step 4: x=16
In this step, we solve for x by dividing both sides of the equation by 24. This isolates x on the left side and gives us the solution x = 16.