Solve 10x + 11 = 191

The solution of 10x + 11 = 191 is x = 18.

10x + 11 = 191\ \Rightarrow\ x = 18

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

The lines y = 10x + 11 and y = 191 meet at x = 18. 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 addition, then the multiplication.
$10x + 11 = 191$
2
Subtract 11 from both sides:
$10x + 11 - 11 = 191 - 11 \ \Rightarrow\ 10x = 180$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$10\cdot18 + 11 = 180 + 11 = 191 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 11 = 191\ \Rightarrow\ x = 18 \]
\[ 10x + 11 = 191 \]
\[ 10x + 11 - 11 = 191 - 11 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 + 11 = 180 + 11 = 191 \checkmark \]

Trying values of x in 10x + 11 = 191

x	10x + 11	Equals 191?
16	171	no
17	181	no
18	191	yes
19	201	no
20	211	no

Questions

What is x in 10x + 11 = 191?

The solution of 10x + 11 = 191 is x = 18.

How do you solve 10x + 11 = 191?

Subtract 11 from both sides to get 10x = 180, then divide both sides by 10 to get x = 18.

How do I check the answer?

Replace x by 18: 10(18) + 11 = 191, which is 191.

Solve 10x + 11 = 191

How to work it out

Trying values of x in 10x + 11 = 191

Questions

Similar equations