Solve 11x − 14 = 140

The solution of 11x − 14 = 140 is x = 14.

11x - 14 = 140\ \Rightarrow\ x = 14

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

The lines y = 11x − 14 and y = 140 meet at x = 14. 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.
$11x - 14 = 140$
2
Add 14 to both sides:
$11x - 14 + 14 = 140 + 14 \ \Rightarrow\ 11x = 154$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$11\cdot14 - 14 = 154 - 14 = 140 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 14 = 140\ \Rightarrow\ x = 14 \]
\[ 11x - 14 = 140 \]
\[ 11x - 14 + 14 = 140 + 14 \ \Rightarrow\ 11x = 154 \]
\[ \frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14 \]
\[ 11\cdot14 - 14 = 154 - 14 = 140 \checkmark \]

Trying values of x in 11x − 14 = 140

x	11x − 14	Equals 140?
12	118	no
13	129	no
14	140	yes
15	151	no
16	162	no

Questions

What is x in 11x − 14 = 140?

The solution of 11x − 14 = 140 is x = 14.

How do you solve 11x − 14 = 140?

Add 14 to both sides to get 11x = 154, then divide both sides by 11 to get x = 14.

How do I check the answer?

Replace x by 14: 11(14) − 14 = 140, which is 140.

Solve 11x − 14 = 140

How to work it out

Trying values of x in 11x − 14 = 140

Questions

Similar equations