Solve 8x − 9 = 119

The solution of 8x − 9 = 119 is x = 16.

8x - 9 = 119\ \Rightarrow\ x = 16

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

The lines y = 8x − 9 and y = 119 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.
$8x - 9 = 119$
2
Add 9 to both sides:
$8x - 9 + 9 = 119 + 9 \ \Rightarrow\ 8x = 128$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$8\cdot16 - 9 = 128 - 9 = 119 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 9 = 119\ \Rightarrow\ x = 16 \]
\[ 8x - 9 = 119 \]
\[ 8x - 9 + 9 = 119 + 9 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 - 9 = 128 - 9 = 119 \checkmark \]

Trying values of x in 8x − 9 = 119

x	8x − 9	Equals 119?
14	103	no
15	111	no
16	119	yes
17	127	no
18	135	no

Questions

What is x in 8x − 9 = 119?

The solution of 8x − 9 = 119 is x = 16.

How do you solve 8x − 9 = 119?

Add 9 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) − 9 = 119, which is 119.

Solve 8x − 9 = 119

How to work it out

Trying values of x in 8x − 9 = 119

Questions

Similar equations