Solve 2x + 13 = 47

The solution of 2x + 13 = 47 is x = 17.

2x + 13 = 47\ \Rightarrow\ x = 17

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The lines y = 2x + 13 and y = 47 meet at x = 17. 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.
$2x + 13 = 47$
2
Subtract 13 from both sides:
$2x + 13 - 13 = 47 - 13 \ \Rightarrow\ 2x = 34$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$2\cdot17 + 13 = 34 + 13 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 13 = 47\ \Rightarrow\ x = 17 \]
\[ 2x + 13 = 47 \]
\[ 2x + 13 - 13 = 47 - 13 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 + 13 = 34 + 13 = 47 \checkmark \]

Trying values of x in 2x + 13 = 47

x	2x + 13	Equals 47?
15	43	no
16	45	no
17	47	yes
18	49	no
19	51	no

Questions

What is x in 2x + 13 = 47?

The solution of 2x + 13 = 47 is x = 17.

How do you solve 2x + 13 = 47?

Subtract 13 from both sides to get 2x = 34, then divide both sides by 2 to get x = 17.

How do I check the answer?

Replace x by 17: 2(17) + 13 = 47, which is 47.

Solve 2x + 13 = 47

How to work it out

Trying values of x in 2x + 13 = 47

Questions

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