Solve 9x − 7 = 47

The solution of 9x − 7 = 47 is x = 6.

9x - 7 = 47\ \Rightarrow\ x = 6

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The lines y = 9x − 7 and y = 47 meet at x = 6. 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 subtraction, then the multiplication.
$9x - 7 = 47$
2
Add 7 to both sides:
$9x - 7 + 7 = 47 + 7 \ \Rightarrow\ 9x = 54$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$9\cdot6 - 7 = 54 - 7 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 47\ \Rightarrow\ x = 6 \]
\[ 9x - 7 = 47 \]
\[ 9x - 7 + 7 = 47 + 7 \ \Rightarrow\ 9x = 54 \]
\[ \frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6 \]
\[ 9\cdot6 - 7 = 54 - 7 = 47 \checkmark \]

Trying values of x in 9x − 7 = 47

x	9x − 7	Equals 47?
4	29	no
5	38	no
6	47	yes
7	56	no
8	65	no

Questions

What is x in 9x − 7 = 47?

The solution of 9x − 7 = 47 is x = 6.

How do you solve 9x − 7 = 47?

Add 7 to both sides to get 9x = 54, then divide both sides by 9 to get x = 6.

How do I check the answer?

Replace x by 6: 9(6) − 7 = 47, which is 47.

Solve 9x − 7 = 47

How to work it out

Trying values of x in 9x − 7 = 47

Questions

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