Solve 8x − 1 = 119

The solution of 8x − 1 = 119 is x = 15.

8x - 1 = 119\ \Rightarrow\ x = 15

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

The lines y = 8x − 1 and y = 119 meet at x = 15. 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.
$8x - 1 = 119$
2
Add 1 to both sides:
$8x - 1 + 1 = 119 + 1 \ \Rightarrow\ 8x = 120$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$8\cdot15 - 1 = 120 - 1 = 119 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 1 = 119\ \Rightarrow\ x = 15 \]
\[ 8x - 1 = 119 \]
\[ 8x - 1 + 1 = 119 + 1 \ \Rightarrow\ 8x = 120 \]
\[ \frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15 \]
\[ 8\cdot15 - 1 = 120 - 1 = 119 \checkmark \]

Trying values of x in 8x − 1 = 119

x	8x − 1	Equals 119?
13	103	no
14	111	no
15	119	yes
16	127	no
17	135	no

Questions

What is x in 8x − 1 = 119?

The solution of 8x − 1 = 119 is x = 15.

How do you solve 8x − 1 = 119?

Add 1 to both sides to get 8x = 120, then divide both sides by 8 to get x = 15.

How do I check the answer?

Replace x by 15: 8(15) − 1 = 119, which is 119.

Solve 8x − 1 = 119

How to work it out

Trying values of x in 8x − 1 = 119

Questions

Similar equations