Solve 2x − 5 = 25

The solution of 2x − 5 = 25 is x = 15.

2x - 5 = 25\ \Rightarrow\ x = 15

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

The lines y = 2x − 5 and y = 25 meet at x = 15. 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.
$2x - 5 = 25$
2
Add 5 to both sides:
$2x - 5 + 5 = 25 + 5 \ \Rightarrow\ 2x = 30$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$2\cdot15 - 5 = 30 - 5 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 5 = 25\ \Rightarrow\ x = 15 \]
\[ 2x - 5 = 25 \]
\[ 2x - 5 + 5 = 25 + 5 \ \Rightarrow\ 2x = 30 \]
\[ \frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15 \]
\[ 2\cdot15 - 5 = 30 - 5 = 25 \checkmark \]

Trying values of x in 2x − 5 = 25

x	2x − 5	Equals 25?
13	21	no
14	23	no
15	25	yes
16	27	no
17	29	no

Questions

What is x in 2x − 5 = 25?

The solution of 2x − 5 = 25 is x = 15.

How do you solve 2x − 5 = 25?

Add 5 to both sides to get 2x = 30, then divide both sides by 2 to get x = 15.

How do I check the answer?

Replace x by 15: 2(15) − 5 = 25, which is 25.

Solve 2x − 5 = 25

How to work it out

Trying values of x in 2x − 5 = 25

Questions

Similar equations