Solve 8x − 11 = 93

The solution of 8x − 11 = 93 is x = 13.

8x - 11 = 93\ \Rightarrow\ x = 13

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

The lines y = 8x − 11 and y = 93 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.
$8x - 11 = 93$
2
Add 11 to both sides:
$8x - 11 + 11 = 93 + 11 \ \Rightarrow\ 8x = 104$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$8\cdot13 - 11 = 104 - 11 = 93 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = 93\ \Rightarrow\ x = 13 \]
\[ 8x - 11 = 93 \]
\[ 8x - 11 + 11 = 93 + 11 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 - 11 = 104 - 11 = 93 \checkmark \]

Trying values of x in 8x − 11 = 93

x	8x − 11	Equals 93?
11	77	no
12	85	no
13	93	yes
14	101	no
15	109	no

Questions

What is x in 8x − 11 = 93?

The solution of 8x − 11 = 93 is x = 13.

How do you solve 8x − 11 = 93?

Add 11 to both sides to get 8x = 104, then divide both sides by 8 to get x = 13.

How do I check the answer?

Replace x by 13: 8(13) − 11 = 93, which is 93.

Solve 8x − 11 = 93

How to work it out

Trying values of x in 8x − 11 = 93

Questions

Similar equations