Solve 2x + 11 = 47

The solution of 2x + 11 = 47 is x = 18.

2x + 11 = 47\ \Rightarrow\ x = 18

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The lines y = 2x + 11 and y = 47 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.
$2x + 11 = 47$
2
Subtract 11 from both sides:
$2x + 11 - 11 = 47 - 11 \ \Rightarrow\ 2x = 36$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$2\cdot18 + 11 = 36 + 11 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 11 = 47\ \Rightarrow\ x = 18 \]
\[ 2x + 11 = 47 \]
\[ 2x + 11 - 11 = 47 - 11 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 + 11 = 36 + 11 = 47 \checkmark \]

Trying values of x in 2x + 11 = 47

x	2x + 11	Equals 47?
16	43	no
17	45	no
18	47	yes
19	49	no
20	51	no

Questions

What is x in 2x + 11 = 47?

The solution of 2x + 11 = 47 is x = 18.

How do you solve 2x + 11 = 47?

Subtract 11 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) + 11 = 47, which is 47.

Solve 2x + 11 = 47

How to work it out

Trying values of x in 2x + 11 = 47

Questions

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