Solve 8x − 3 = 125

The solution of 8x − 3 = 125 is x = 16.

8x - 3 = 125\ \Rightarrow\ x = 16

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

The lines y = 8x − 3 and y = 125 meet at x = 16. 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.
$8x - 3 = 125$
2
Add 3 to both sides:
$8x - 3 + 3 = 125 + 3 \ \Rightarrow\ 8x = 128$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$8\cdot16 - 3 = 128 - 3 = 125 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 3 = 125\ \Rightarrow\ x = 16 \]
\[ 8x - 3 = 125 \]
\[ 8x - 3 + 3 = 125 + 3 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 - 3 = 128 - 3 = 125 \checkmark \]

Trying values of x in 8x − 3 = 125

x	8x − 3	Equals 125?
14	109	no
15	117	no
16	125	yes
17	133	no
18	141	no

Questions

What is x in 8x − 3 = 125?

The solution of 8x − 3 = 125 is x = 16.

How do you solve 8x − 3 = 125?

Add 3 to both sides to get 8x = 128, then divide both sides by 8 to get x = 16.

How do I check the answer?

Replace x by 16: 8(16) − 3 = 125, which is 125.

Solve 8x − 3 = 125

How to work it out

Trying values of x in 8x − 3 = 125

Questions

Similar equations