Solve 12x − 5 = 199

The solution of 12x − 5 = 199 is x = 17.

12x - 5 = 199\ \Rightarrow\ x = 17

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

The lines y = 12x − 5 and y = 199 meet at x = 17. 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.
$12x - 5 = 199$
2
Add 5 to both sides:
$12x - 5 + 5 = 199 + 5 \ \Rightarrow\ 12x = 204$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$12\cdot17 - 5 = 204 - 5 = 199 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 5 = 199\ \Rightarrow\ x = 17 \]
\[ 12x - 5 = 199 \]
\[ 12x - 5 + 5 = 199 + 5 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 - 5 = 204 - 5 = 199 \checkmark \]

Trying values of x in 12x − 5 = 199

x	12x − 5	Equals 199?
15	175	no
16	187	no
17	199	yes
18	211	no
19	223	no

Questions

What is x in 12x − 5 = 199?

The solution of 12x − 5 = 199 is x = 17.

How do you solve 12x − 5 = 199?

Add 5 to both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) − 5 = 199, which is 199.

Solve 12x − 5 = 199

How to work it out

Trying values of x in 12x − 5 = 199

Questions

Similar equations