What is the value of ?
For linear equations with parentheses, first distribute any numbers multiplying the parentheses to remove them. Then collect like terms so that all variable terms are on one side and constants on the other. Use inverse operations in a clear order—add/subtract to move constants, then multiply/divide to isolate the variable—being especially careful with negative signs to avoid common errors.
Hints
Remove the parentheses
First, think about how to get rid of the parentheses in . What should you do with the 4?
Simplify to a linear equation
After distributing the 4, you should get an equation of the form . What does that equation look like?
Isolate the variable
Once you have something like , move the constant (the number without ) to the other side, then divide to solve for .
Desmos Guide
Enter each side as a separate function
In Desmos, in the first line type y = 4(2 - x) and in the second line type y = 20. Here, plays the role of .
Find the intersection point
Look for the point where the two graphs intersect. Click on the intersection; the -coordinate of this point is the value of that makes true.
Step-by-step Explanation
Distribute the 4
Start by multiplying 4 by each term inside the parentheses:
Now you have a simpler linear equation without parentheses.
Isolate the term with m
Move the constant term 8 to the right side by subtracting 8 from both sides:
Now the equation has only the term on the left side.
Solve for m
Divide both sides of the equation by to solve for :
So, the value of is .