Solve 5x − 10 = 15

The solution of 5x − 10 = 15 is x = 5.

5x - 10 = 15\ \Rightarrow\ x = 5

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

The lines y = 5x − 10 and y = 15 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.
$5x - 10 = 15$
2
Add 10 to both sides:
$5x - 10 + 10 = 15 + 10 \ \Rightarrow\ 5x = 25$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$5\cdot5 - 10 = 25 - 10 = 15 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 10 = 15\ \Rightarrow\ x = 5 \]
\[ 5x - 10 = 15 \]
\[ 5x - 10 + 10 = 15 + 10 \ \Rightarrow\ 5x = 25 \]
\[ \frac{5x}{5} = \frac{25}{5} \ \Rightarrow\ x = 5 \]
\[ 5\cdot5 - 10 = 25 - 10 = 15 \checkmark \]

Trying values of x in 5x − 10 = 15

x	5x − 10	Equals 15?
3	5	no
4	10	no
5	15	yes
6	20	no
7	25	no

Questions

What is x in 5x − 10 = 15?

The solution of 5x − 10 = 15 is x = 5.

How do you solve 5x − 10 = 15?

Add 10 to both sides to get 5x = 25, then divide both sides by 5 to get x = 5.

How do I check the answer?

Replace x by 5: 5(5) − 10 = 15, which is 15.

Solve 5x − 10 = 15

How to work it out

Trying values of x in 5x − 10 = 15

Questions

Similar equations