Solve 5x − 12 = 48

The solution of 5x − 12 = 48 is x = 12.

5x - 12 = 48\ \Rightarrow\ x = 12

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

The lines y = 5x − 12 and y = 48 meet at x = 12. 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.
$5x - 12 = 48$
2
Add 12 to both sides:
$5x - 12 + 12 = 48 + 12 \ \Rightarrow\ 5x = 60$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$5\cdot12 - 12 = 60 - 12 = 48 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = 48\ \Rightarrow\ x = 12 \]
\[ 5x - 12 = 48 \]
\[ 5x - 12 + 12 = 48 + 12 \ \Rightarrow\ 5x = 60 \]
\[ \frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12 \]
\[ 5\cdot12 - 12 = 60 - 12 = 48 \checkmark \]

Trying values of x in 5x − 12 = 48

x	5x − 12	Equals 48?
10	38	no
11	43	no
12	48	yes
13	53	no
14	58	no

Questions

What is x in 5x − 12 = 48?

The solution of 5x − 12 = 48 is x = 12.

How do you solve 5x − 12 = 48?

Add 12 to both sides to get 5x = 60, then divide both sides by 5 to get x = 12.

How do I check the answer?

Replace x by 12: 5(12) − 12 = 48, which is 48.

Solve 5x − 12 = 48

How to work it out

Trying values of x in 5x − 12 = 48

Questions

Similar equations