Solve 10x − 3 = 47

The solution of 10x − 3 = 47 is x = 5.

10x - 3 = 47\ \Rightarrow\ x = 5

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

The lines y = 10x − 3 and y = 47 meet at x = 5. 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.
$10x - 3 = 47$
2
Add 3 to both sides:
$10x - 3 + 3 = 47 + 3 \ \Rightarrow\ 10x = 50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$10\cdot5 - 3 = 50 - 3 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 3 = 47\ \Rightarrow\ x = 5 \]
\[ 10x - 3 = 47 \]
\[ 10x - 3 + 3 = 47 + 3 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 - 3 = 50 - 3 = 47 \checkmark \]

Trying values of x in 10x − 3 = 47

x	10x − 3	Equals 47?
3	27	no
4	37	no
5	47	yes
6	57	no
7	67	no

Questions

What is x in 10x − 3 = 47?

The solution of 10x − 3 = 47 is x = 5.

How do you solve 10x − 3 = 47?

Add 3 to both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) − 3 = 47, which is 47.

Solve 10x − 3 = 47

How to work it out

Trying values of x in 10x − 3 = 47

Questions

Similar equations