To solve the equation: 24(34+x)=1,200

Question

, give the reasons for each of the given steps.

What was done to the previous step to get to the current equation?

(1 point)
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Step 1: 816+24x=1,200
Step 2: 816−816+24x=1,200 − 816
Step 3: 24x=384
Step 4: x=16

Answer 1

Step 1: Multiply 24 by (34+x) on the left side of the equation to obtain the expression 24(34+x).
Step 2: Simplify the left side of the equation by subtracting 816 from both sides. This is done in order to isolate the variable x on one side of the equation.
Step 3: Simplify the left side of the equation by combining like terms.
Step 4: Divide both sides of the equation by 24 to solve for the variable x.

Answer 2

bot the answer choices are distributive property, subtraction as the inverse operation to isolate the variable, combine like terms, addition as the inverse operation to isolate the variable, Division as the inverse operation to isolate the variable, multiplication as the inverse operation to isolate the variable.

Answer 3

Step 1: Distributive property, as the expression 24(34+x) is multiplied out.
Step 2: Subtraction as the inverse operation to isolate the variable. Subtracting 816 from both sides moves the constant term to the other side of the equation.
Step 3: Combining like terms, as 816 - 816 simplifies to 0 on the left side of the equation.
Step 4: Division as the inverse operation to isolate the variable. The variable x is divided by 24 on both sides to solve for its value.

Answer 4

The number of x's on both sides of the equation is different a≠b
How many solutions does this equation have?