Solve 9x − 11 = 115

The solution of 9x − 11 = 115 is x = 14.

9x - 11 = 115\ \Rightarrow\ x = 14

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The lines y = 9x − 11 and y = 115 meet at x = 14. 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.
$9x - 11 = 115$
2
Add 11 to both sides:
$9x - 11 + 11 = 115 + 11 \ \Rightarrow\ 9x = 126$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$9\cdot14 - 11 = 126 - 11 = 115 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 115\ \Rightarrow\ x = 14 \]
\[ 9x - 11 = 115 \]
\[ 9x - 11 + 11 = 115 + 11 \ \Rightarrow\ 9x = 126 \]
\[ \frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14 \]
\[ 9\cdot14 - 11 = 126 - 11 = 115 \checkmark \]

Trying values of x in 9x − 11 = 115

x	9x − 11	Equals 115?
12	97	no
13	106	no
14	115	yes
15	124	no
16	133	no

Questions

What is x in 9x − 11 = 115?

The solution of 9x − 11 = 115 is x = 14.

How do you solve 9x − 11 = 115?

Add 11 to both sides to get 9x = 126, then divide both sides by 9 to get x = 14.

How do I check the answer?

Replace x by 14: 9(14) − 11 = 115, which is 115.

Solve 9x − 11 = 115

How to work it out

Trying values of x in 9x − 11 = 115

Questions

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