Solve 10x − 2 = 48

The solution of 10x − 2 = 48 is x = 5.

10x - 2 = 48\ \Rightarrow\ x = 5

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

The lines y = 10x − 2 and y = 48 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.
$10x - 2 = 48$
2
Add 2 to both sides:
$10x - 2 + 2 = 48 + 2 \ \Rightarrow\ 10x = 50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$10\cdot5 - 2 = 50 - 2 = 48 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 48\ \Rightarrow\ x = 5 \]
\[ 10x - 2 = 48 \]
\[ 10x - 2 + 2 = 48 + 2 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 - 2 = 50 - 2 = 48 \checkmark \]

Trying values of x in 10x − 2 = 48

x	10x − 2	Equals 48?
3	28	no
4	38	no
5	48	yes
6	58	no
7	68	no

Questions

What is x in 10x − 2 = 48?

The solution of 10x − 2 = 48 is x = 5.

How do you solve 10x − 2 = 48?

Add 2 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) − 2 = 48, which is 48.

Solve 10x − 2 = 48

How to work it out

Trying values of x in 10x − 2 = 48

Questions

Similar equations