Solve 9x − 7 = 74

The solution of 9x − 7 = 74 is x = 9.

9x - 7 = 74\ \Rightarrow\ x = 9

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

The lines y = 9x − 7 and y = 74 meet at x = 9. 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.
$9x - 7 = 74$
2
Add 7 to both sides:
$9x - 7 + 7 = 74 + 7 \ \Rightarrow\ 9x = 81$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$9\cdot9 - 7 = 81 - 7 = 74 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 74\ \Rightarrow\ x = 9 \]
\[ 9x - 7 = 74 \]
\[ 9x - 7 + 7 = 74 + 7 \ \Rightarrow\ 9x = 81 \]
\[ \frac{9x}{9} = \frac{81}{9} \ \Rightarrow\ x = 9 \]
\[ 9\cdot9 - 7 = 81 - 7 = 74 \checkmark \]

Trying values of x in 9x − 7 = 74

x	9x − 7	Equals 74?
7	56	no
8	65	no
9	74	yes
10	83	no
11	92	no

Questions

What is x in 9x − 7 = 74?

The solution of 9x − 7 = 74 is x = 9.

How do you solve 9x − 7 = 74?

Add 7 to both sides to get 9x = 81, then divide both sides by 9 to get x = 9.

How do I check the answer?

Replace x by 9: 9(9) − 7 = 74, which is 74.

Solve 9x − 7 = 74

How to work it out

Trying values of x in 9x − 7 = 74

Questions

Similar equations