Solve 9x − 14 = 130

The solution of 9x − 14 = 130 is x = 16.

9x - 14 = 130\ \Rightarrow\ x = 16

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The lines y = 9x − 14 and y = 130 meet at x = 16. 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.
$9x - 14 = 130$
2
Add 14 to both sides:
$9x - 14 + 14 = 130 + 14 \ \Rightarrow\ 9x = 144$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$9\cdot16 - 14 = 144 - 14 = 130 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = 130\ \Rightarrow\ x = 16 \]
\[ 9x - 14 = 130 \]
\[ 9x - 14 + 14 = 130 + 14 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 - 14 = 144 - 14 = 130 \checkmark \]

Trying values of x in 9x − 14 = 130

x	9x − 14	Equals 130?
14	112	no
15	121	no
16	130	yes
17	139	no
18	148	no

Questions

What is x in 9x − 14 = 130?

The solution of 9x − 14 = 130 is x = 16.

How do you solve 9x − 14 = 130?

Add 14 to both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) − 14 = 130, which is 130.

Solve 9x − 14 = 130

How to work it out

Trying values of x in 9x − 14 = 130

Questions

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