Question 106·Easy·Linear Equations in One Variable
What value of satisfies the given equation?
For simple linear equations like , always isolate step by step: reverse the operations in the opposite order they’re applied (undo subtraction or addition first, then undo multiplication or division), doing the same operation to both sides. As a quick check, plug your answer back into the original equation to confirm both sides are equal before moving on.
Hints
Focus on isolating x
Look at the equation . What operations are being done to on the left side?
Undo the subtraction first
Since is subtracted from , think about what you can add to both sides to cancel the .
Then undo the multiplication
After you get an equation of the form , what should you do to both sides to get alone?
Check your answer
Take each answer choice, plug it in for in , and see which one makes the result equal to .
Desmos Guide
Enter the two sides of the equation
In Desmos, type y = 2x - 5 on one line and y = 11 on another line so you can see both graphs.
Find the intersection point
Look for the point where the two graphs intersect. Tap or click that intersection point and note the -coordinate; that -value is the solution to the equation. Then choose the matching option from the list.
Step-by-step Explanation
Identify the goal
We want the value of that makes the equation true. This means we need to get alone on one side of the equation by doing the same operations to both sides.
Undo the subtraction
On the left side, is being multiplied by and then is subtracted. Start by undoing the subtraction of .
Add to both sides:
This simplifies to:
Solve for x
Now , so is being multiplied by . Undo this by dividing both sides by :
So . The answer choice that matches this value is B.