Solve 11x − 7 = 92

The solution of 11x − 7 = 92 is x = 9.

11x - 7 = 92\ \Rightarrow\ x = 9

Explain it step by step in chat Make a short video of it

The lines y = 11x − 7 and y = 92 meet at x = 9. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$11x - 7 = 92$
2
Add 7 to both sides:
$11x - 7 + 7 = 92 + 7 \ \Rightarrow\ 11x = 99$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$11\cdot9 - 7 = 99 - 7 = 92 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = 92\ \Rightarrow\ x = 9 \]
\[ 11x - 7 = 92 \]
\[ 11x - 7 + 7 = 92 + 7 \ \Rightarrow\ 11x = 99 \]
\[ \frac{11x}{11} = \frac{99}{11} \ \Rightarrow\ x = 9 \]
\[ 11\cdot9 - 7 = 99 - 7 = 92 \checkmark \]

Trying values of x in 11x − 7 = 92

x	11x − 7	Equals 92?
7	70	no
8	81	no
9	92	yes
10	103	no
11	114	no

Questions

What is x in 11x − 7 = 92?

The solution of 11x − 7 = 92 is x = 9.

How do you solve 11x − 7 = 92?

Add 7 to both sides to get 11x = 99, then divide both sides by 11 to get x = 9.

How do I check the answer?

Replace x by 9: 11(9) − 7 = 92, which is 92.

Solve 11x − 7 = 92

How to work it out

Trying values of x in 11x − 7 = 92

Questions

Similar equations