Solve 9x − 13 = 5

The solution of 9x − 13 = 5 is x = 2.

9x - 13 = 5\ \Rightarrow\ x = 2

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The lines y = 9x − 13 and y = 5 meet at x = 2. 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.
$9x - 13 = 5$
2
Add 13 to both sides:
$9x - 13 + 13 = 5 + 13 \ \Rightarrow\ 9x = 18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$9\cdot2 - 13 = 18 - 13 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 13 = 5\ \Rightarrow\ x = 2 \]
\[ 9x - 13 = 5 \]
\[ 9x - 13 + 13 = 5 + 13 \ \Rightarrow\ 9x = 18 \]
\[ \frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2 \]
\[ 9\cdot2 - 13 = 18 - 13 = 5 \checkmark \]

Trying values of x in 9x − 13 = 5

x	9x − 13	Equals 5?
0	-13	no
1	-4	no
2	5	yes
3	14	no
4	23	no

Questions

What is x in 9x − 13 = 5?

The solution of 9x − 13 = 5 is x = 2.

How do you solve 9x − 13 = 5?

Add 13 to both sides to get 9x = 18, then divide both sides by 9 to get x = 2.

How do I check the answer?

Replace x by 2: 9(2) − 13 = 5, which is 5.

Solve 9x − 13 = 5

How to work it out

Trying values of x in 9x − 13 = 5

Questions

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