Solve 7x − 11 = 108

The solution of 7x − 11 = 108 is x = 17.

7x - 11 = 108\ \Rightarrow\ x = 17

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

The lines y = 7x − 11 and y = 108 meet at x = 17. 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.
$7x - 11 = 108$
2
Add 11 to both sides:
$7x - 11 + 11 = 108 + 11 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 - 11 = 119 - 11 = 108 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = 108\ \Rightarrow\ x = 17 \]
\[ 7x - 11 = 108 \]
\[ 7x - 11 + 11 = 108 + 11 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 - 11 = 119 - 11 = 108 \checkmark \]

Trying values of x in 7x − 11 = 108

x	7x − 11	Equals 108?
15	94	no
16	101	no
17	108	yes
18	115	no
19	122	no

Questions

What is x in 7x − 11 = 108?

The solution of 7x − 11 = 108 is x = 17.

How do you solve 7x − 11 = 108?

Add 11 to both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) − 11 = 108, which is 108.

Solve 7x − 11 = 108

How to work it out

Trying values of x in 7x − 11 = 108

Questions

Similar equations