Solve 6x − 14 = 22

The solution of 6x − 14 = 22 is x = 6.

6x - 14 = 22\ \Rightarrow\ x = 6

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

The lines y = 6x − 14 and y = 22 meet at x = 6. 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.
$6x - 14 = 22$
2
Add 14 to both sides:
$6x - 14 + 14 = 22 + 14 \ \Rightarrow\ 6x = 36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$6\cdot6 - 14 = 36 - 14 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 14 = 22\ \Rightarrow\ x = 6 \]
\[ 6x - 14 = 22 \]
\[ 6x - 14 + 14 = 22 + 14 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 - 14 = 36 - 14 = 22 \checkmark \]

Trying values of x in 6x − 14 = 22

x	6x − 14	Equals 22?
4	10	no
5	16	no
6	22	yes
7	28	no
8	34	no

Questions

What is x in 6x − 14 = 22?

The solution of 6x − 14 = 22 is x = 6.

How do you solve 6x − 14 = 22?

Add 14 to both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) − 14 = 22, which is 22.

Solve 6x − 14 = 22

How to work it out

Trying values of x in 6x − 14 = 22

Questions

Similar equations