Solve 6x − 11 = 73

The solution of 6x − 11 = 73 is x = 14.

6x - 11 = 73\ \Rightarrow\ x = 14

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

The lines y = 6x − 11 and y = 73 meet at x = 14. 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.
$6x - 11 = 73$
2
Add 11 to both sides:
$6x - 11 + 11 = 73 + 11 \ \Rightarrow\ 6x = 84$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$6\cdot14 - 11 = 84 - 11 = 73 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = 73\ \Rightarrow\ x = 14 \]
\[ 6x - 11 = 73 \]
\[ 6x - 11 + 11 = 73 + 11 \ \Rightarrow\ 6x = 84 \]
\[ \frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14 \]
\[ 6\cdot14 - 11 = 84 - 11 = 73 \checkmark \]

Trying values of x in 6x − 11 = 73

x	6x − 11	Equals 73?
12	61	no
13	67	no
14	73	yes
15	79	no
16	85	no

Questions

What is x in 6x − 11 = 73?

The solution of 6x − 11 = 73 is x = 14.

How do you solve 6x − 11 = 73?

Add 11 to both sides to get 6x = 84, then divide both sides by 6 to get x = 14.

How do I check the answer?

Replace x by 14: 6(14) − 11 = 73, which is 73.

Solve 6x − 11 = 73

How to work it out

Trying values of x in 6x − 11 = 73

Questions

Similar equations