Solve 5x − 10 = 20

The solution of 5x − 10 = 20 is x = 6.

5x - 10 = 20\ \Rightarrow\ x = 6

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

The lines y = 5x − 10 and y = 20 meet at x = 6. 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.
$5x - 10 = 20$
2
Add 10 to both sides:
$5x - 10 + 10 = 20 + 10 \ \Rightarrow\ 5x = 30$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$5\cdot6 - 10 = 30 - 10 = 20 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 10 = 20\ \Rightarrow\ x = 6 \]
\[ 5x - 10 = 20 \]
\[ 5x - 10 + 10 = 20 + 10 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 - 10 = 30 - 10 = 20 \checkmark \]

Trying values of x in 5x − 10 = 20

x	5x − 10	Equals 20?
4	10	no
5	15	no
6	20	yes
7	25	no
8	30	no

Questions

What is x in 5x − 10 = 20?

The solution of 5x − 10 = 20 is x = 6.

How do you solve 5x − 10 = 20?

Add 10 to both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) − 10 = 20, which is 20.

Solve 5x − 10 = 20

How to work it out

Trying values of x in 5x − 10 = 20

Questions

Similar equations