Solve 10x − 3 = 197

The solution of 10x − 3 = 197 is x = 20.

10x - 3 = 197\ \Rightarrow\ x = 20

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

The lines y = 10x − 3 and y = 197 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.
$10x - 3 = 197$
2
Add 3 to both sides:
$10x - 3 + 3 = 197 + 3 \ \Rightarrow\ 10x = 200$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$10\cdot20 - 3 = 200 - 3 = 197 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 3 = 197\ \Rightarrow\ x = 20 \]
\[ 10x - 3 = 197 \]
\[ 10x - 3 + 3 = 197 + 3 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 3 = 200 - 3 = 197 \checkmark \]

Trying values of x in 10x − 3 = 197

x	10x − 3	Equals 197?
18	177	no
19	187	no
20	197	yes
21	207	no
22	217	no

Questions

What is x in 10x − 3 = 197?

The solution of 10x − 3 = 197 is x = 20.

How do you solve 10x − 3 = 197?

Add 3 to both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) − 3 = 197, which is 197.

Solve 10x − 3 = 197

How to work it out

Trying values of x in 10x − 3 = 197

Questions

Similar equations