Solve 10x − 11 = 149

The solution of 10x − 11 = 149 is x = 16.

10x - 11 = 149\ \Rightarrow\ x = 16

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

The lines y = 10x − 11 and y = 149 meet at x = 16. 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.
$10x - 11 = 149$
2
Add 11 to both sides:
$10x - 11 + 11 = 149 + 11 \ \Rightarrow\ 10x = 160$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$10\cdot16 - 11 = 160 - 11 = 149 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 11 = 149\ \Rightarrow\ x = 16 \]
\[ 10x - 11 = 149 \]
\[ 10x - 11 + 11 = 149 + 11 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 - 11 = 160 - 11 = 149 \checkmark \]

Trying values of x in 10x − 11 = 149

x	10x − 11	Equals 149?
14	129	no
15	139	no
16	149	yes
17	159	no
18	169	no

Questions

What is x in 10x − 11 = 149?

The solution of 10x − 11 = 149 is x = 16.

How do you solve 10x − 11 = 149?

Add 11 to both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) − 11 = 149, which is 149.

Solve 10x − 11 = 149

How to work it out

Trying values of x in 10x − 11 = 149

Questions

Similar equations