Solve 2x + 5 = 41

The solution of 2x + 5 = 41 is x = 18.

2x + 5 = 41\ \Rightarrow\ x = 18

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

The lines y = 2x + 5 and y = 41 meet at x = 18. 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.
$2x + 5 = 41$
2
Subtract 5 from both sides:
$2x + 5 - 5 = 41 - 5 \ \Rightarrow\ 2x = 36$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$2\cdot18 + 5 = 36 + 5 = 41 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 5 = 41\ \Rightarrow\ x = 18 \]
\[ 2x + 5 = 41 \]
\[ 2x + 5 - 5 = 41 - 5 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 + 5 = 36 + 5 = 41 \checkmark \]

Trying values of x in 2x + 5 = 41

x	2x + 5	Equals 41?
16	37	no
17	39	no
18	41	yes
19	43	no
20	45	no

Questions

What is x in 2x + 5 = 41?

The solution of 2x + 5 = 41 is x = 18.

How do you solve 2x + 5 = 41?

Subtract 5 from both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) + 5 = 41, which is 41.

Solve 2x + 5 = 41

How to work it out

Trying values of x in 2x + 5 = 41

Questions

Similar equations