Solve 3x − 5 = 25

The solution of 3x − 5 = 25 is x = 10.

3x - 5 = 25\ \Rightarrow\ x = 10

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

The lines y = 3x − 5 and y = 25 meet at x = 10. 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.
$3x - 5 = 25$
2
Add 5 to both sides:
$3x - 5 + 5 = 25 + 5 \ \Rightarrow\ 3x = 30$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$3\cdot10 - 5 = 30 - 5 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 5 = 25\ \Rightarrow\ x = 10 \]
\[ 3x - 5 = 25 \]
\[ 3x - 5 + 5 = 25 + 5 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 - 5 = 30 - 5 = 25 \checkmark \]

Trying values of x in 3x − 5 = 25

x	3x − 5	Equals 25?
8	19	no
9	22	no
10	25	yes
11	28	no
12	31	no

Questions

What is x in 3x − 5 = 25?

The solution of 3x − 5 = 25 is x = 10.

How do you solve 3x − 5 = 25?

Add 5 to both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) − 5 = 25, which is 25.

Solve 3x − 5 = 25

How to work it out

Trying values of x in 3x − 5 = 25

Questions

Similar equations