Solve 2x + 1 = 25

The solution of 2x + 1 = 25 is x = 12.

2x + 1 = 25\ \Rightarrow\ x = 12

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

The lines y = 2x + 1 and y = 25 meet at x = 12. 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 addition, then the multiplication.
$2x + 1 = 25$
2
Subtract 1 from both sides:
$2x + 1 - 1 = 25 - 1 \ \Rightarrow\ 2x = 24$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$2\cdot12 + 1 = 24 + 1 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 1 = 25\ \Rightarrow\ x = 12 \]
\[ 2x + 1 = 25 \]
\[ 2x + 1 - 1 = 25 - 1 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 + 1 = 24 + 1 = 25 \checkmark \]

Trying values of x in 2x + 1 = 25

x	2x + 1	Equals 25?
10	21	no
11	23	no
12	25	yes
13	27	no
14	29	no

Questions

What is x in 2x + 1 = 25?

The solution of 2x + 1 = 25 is x = 12.

How do you solve 2x + 1 = 25?

Subtract 1 from both sides to get 2x = 24, then divide both sides by 2 to get x = 12.

How do I check the answer?

Replace x by 12: 2(12) + 1 = 25, which is 25.

Solve 2x + 1 = 25

How to work it out

Trying values of x in 2x + 1 = 25

Questions

Similar equations