Solve 11x − 1 = 142

The solution of 11x − 1 = 142 is x = 13.

11x - 1 = 142\ \Rightarrow\ x = 13

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

The lines y = 11x − 1 and y = 142 meet at x = 13. 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.
$11x - 1 = 142$
2
Add 1 to both sides:
$11x - 1 + 1 = 142 + 1 \ \Rightarrow\ 11x = 143$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$11\cdot13 - 1 = 143 - 1 = 142 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 142\ \Rightarrow\ x = 13 \]
\[ 11x - 1 = 142 \]
\[ 11x - 1 + 1 = 142 + 1 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 - 1 = 143 - 1 = 142 \checkmark \]

Trying values of x in 11x − 1 = 142

x	11x − 1	Equals 142?
11	120	no
12	131	no
13	142	yes
14	153	no
15	164	no

Questions

What is x in 11x − 1 = 142?

The solution of 11x − 1 = 142 is x = 13.

How do you solve 11x − 1 = 142?

Add 1 to both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) − 1 = 142, which is 142.

Solve 11x − 1 = 142

How to work it out

Trying values of x in 11x − 1 = 142

Questions

Similar equations