Solve 8x − 14 = 26

The solution of 8x − 14 = 26 is x = 5.

8x - 14 = 26\ \Rightarrow\ x = 5

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

The lines y = 8x − 14 and y = 26 meet at x = 5. 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.
$8x - 14 = 26$
2
Add 14 to both sides:
$8x - 14 + 14 = 26 + 14 \ \Rightarrow\ 8x = 40$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$8\cdot5 - 14 = 40 - 14 = 26 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = 26\ \Rightarrow\ x = 5 \]
\[ 8x - 14 = 26 \]
\[ 8x - 14 + 14 = 26 + 14 \ \Rightarrow\ 8x = 40 \]
\[ \frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5 \]
\[ 8\cdot5 - 14 = 40 - 14 = 26 \checkmark \]

Trying values of x in 8x − 14 = 26

x	8x − 14	Equals 26?
3	10	no
4	18	no
5	26	yes
6	34	no
7	42	no

Questions

What is x in 8x − 14 = 26?

The solution of 8x − 14 = 26 is x = 5.

How do you solve 8x − 14 = 26?

Add 14 to both sides to get 8x = 40, then divide both sides by 8 to get x = 5.

How do I check the answer?

Replace x by 5: 8(5) − 14 = 26, which is 26.

Solve 8x − 14 = 26

How to work it out

Trying values of x in 8x − 14 = 26

Questions

Similar equations