Solve 11x − 14 = 41

The solution of 11x − 14 = 41 is x = 5.

11x - 14 = 41\ \Rightarrow\ x = 5

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

The lines y = 11x − 14 and y = 41 meet at x = 5. 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.
$11x - 14 = 41$
2
Add 14 to both sides:
$11x - 14 + 14 = 41 + 14 \ \Rightarrow\ 11x = 55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$11\cdot5 - 14 = 55 - 14 = 41 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 14 = 41\ \Rightarrow\ x = 5 \]
\[ 11x - 14 = 41 \]
\[ 11x - 14 + 14 = 41 + 14 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 - 14 = 55 - 14 = 41 \checkmark \]

Trying values of x in 11x − 14 = 41

x	11x − 14	Equals 41?
3	19	no
4	30	no
5	41	yes
6	52	no
7	63	no

Questions

What is x in 11x − 14 = 41?

The solution of 11x − 14 = 41 is x = 5.

How do you solve 11x − 14 = 41?

Add 14 to both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) − 14 = 41, which is 41.

Solve 11x − 14 = 41

How to work it out

Trying values of x in 11x − 14 = 41

Questions

Similar equations