Solve 8x − 14 = 146

The solution of 8x − 14 = 146 is x = 20.

8x - 14 = 146\ \Rightarrow\ x = 20

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

The lines y = 8x − 14 and y = 146 meet at x = 20. 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.
$8x - 14 = 146$
2
Add 14 to both sides:
$8x - 14 + 14 = 146 + 14 \ \Rightarrow\ 8x = 160$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$8\cdot20 - 14 = 160 - 14 = 146 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = 146\ \Rightarrow\ x = 20 \]
\[ 8x - 14 = 146 \]
\[ 8x - 14 + 14 = 146 + 14 \ \Rightarrow\ 8x = 160 \]
\[ \frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20 \]
\[ 8\cdot20 - 14 = 160 - 14 = 146 \checkmark \]

Trying values of x in 8x − 14 = 146

x	8x − 14	Equals 146?
18	130	no
19	138	no
20	146	yes
21	154	no
22	162	no

Questions

What is x in 8x − 14 = 146?

The solution of 8x − 14 = 146 is x = 20.

How do you solve 8x − 14 = 146?

Add 14 to both sides to get 8x = 160, then divide both sides by 8 to get x = 20.

How do I check the answer?

Replace x by 20: 8(20) − 14 = 146, which is 146.

Solve 8x − 14 = 146

How to work it out

Trying values of x in 8x − 14 = 146

Questions

Similar equations