Solve 5x − 10 = 25

The solution of 5x − 10 = 25 is x = 7.

5x - 10 = 25\ \Rightarrow\ x = 7

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

The lines y = 5x − 10 and y = 25 meet at x = 7. 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.
$5x - 10 = 25$
2
Add 10 to both sides:
$5x - 10 + 10 = 25 + 10 \ \Rightarrow\ 5x = 35$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$5\cdot7 - 10 = 35 - 10 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 10 = 25\ \Rightarrow\ x = 7 \]
\[ 5x - 10 = 25 \]
\[ 5x - 10 + 10 = 25 + 10 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 - 10 = 35 - 10 = 25 \checkmark \]

Trying values of x in 5x − 10 = 25

x	5x − 10	Equals 25?
5	15	no
6	20	no
7	25	yes
8	30	no
9	35	no

Questions

What is x in 5x − 10 = 25?

The solution of 5x − 10 = 25 is x = 7.

How do you solve 5x − 10 = 25?

Add 10 to both sides to get 5x = 35, then divide both sides by 5 to get x = 7.

How do I check the answer?

Replace x by 7: 5(7) − 10 = 25, which is 25.

Solve 5x − 10 = 25

How to work it out

Trying values of x in 5x − 10 = 25

Questions

Similar equations