Solve 2x + 9 = 47

The solution of 2x + 9 = 47 is x = 19.

2x + 9 = 47\ \Rightarrow\ x = 19

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The lines y = 2x + 9 and y = 47 meet at x = 19. 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.
$2x + 9 = 47$
2
Subtract 9 from both sides:
$2x + 9 - 9 = 47 - 9 \ \Rightarrow\ 2x = 38$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$2\cdot19 + 9 = 38 + 9 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 9 = 47\ \Rightarrow\ x = 19 \]
\[ 2x + 9 = 47 \]
\[ 2x + 9 - 9 = 47 - 9 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 + 9 = 38 + 9 = 47 \checkmark \]

Trying values of x in 2x + 9 = 47

x	2x + 9	Equals 47?
17	43	no
18	45	no
19	47	yes
20	49	no
21	51	no

Questions

What is x in 2x + 9 = 47?

The solution of 2x + 9 = 47 is x = 19.

How do you solve 2x + 9 = 47?

Subtract 9 from both sides to get 2x = 38, then divide both sides by 2 to get x = 19.

How do I check the answer?

Replace x by 19: 2(19) + 9 = 47, which is 47.

Solve 2x + 9 = 47

How to work it out

Trying values of x in 2x + 9 = 47

Questions

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