Solve 9x − 7 = 38

The solution of 9x − 7 = 38 is x = 5.

9x - 7 = 38\ \Rightarrow\ x = 5

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The lines y = 9x − 7 and y = 38 meet at x = 5. 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.
$9x - 7 = 38$
2
Add 7 to both sides:
$9x - 7 + 7 = 38 + 7 \ \Rightarrow\ 9x = 45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$9\cdot5 - 7 = 45 - 7 = 38 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 38\ \Rightarrow\ x = 5 \]
\[ 9x - 7 = 38 \]
\[ 9x - 7 + 7 = 38 + 7 \ \Rightarrow\ 9x = 45 \]
\[ \frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5 \]
\[ 9\cdot5 - 7 = 45 - 7 = 38 \checkmark \]

Trying values of x in 9x − 7 = 38

x	9x − 7	Equals 38?
3	20	no
4	29	no
5	38	yes
6	47	no
7	56	no

Questions

What is x in 9x − 7 = 38?

The solution of 9x − 7 = 38 is x = 5.

How do you solve 9x − 7 = 38?

Add 7 to both sides to get 9x = 45, then divide both sides by 9 to get x = 5.

How do I check the answer?

Replace x by 5: 9(5) − 7 = 38, which is 38.

Solve 9x − 7 = 38

How to work it out

Trying values of x in 9x − 7 = 38

Questions

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