Solve 9x − 14 = 112

The solution of 9x − 14 = 112 is x = 14.

9x - 14 = 112\ \Rightarrow\ x = 14

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

The lines y = 9x − 14 and y = 112 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.
$9x - 14 = 112$
2
Add 14 to both sides:
$9x - 14 + 14 = 112 + 14 \ \Rightarrow\ 9x = 126$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$9\cdot14 - 14 = 126 - 14 = 112 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = 112\ \Rightarrow\ x = 14 \]
\[ 9x - 14 = 112 \]
\[ 9x - 14 + 14 = 112 + 14 \ \Rightarrow\ 9x = 126 \]
\[ \frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14 \]
\[ 9\cdot14 - 14 = 126 - 14 = 112 \checkmark \]

Trying values of x in 9x − 14 = 112

x	9x − 14	Equals 112?
12	94	no
13	103	no
14	112	yes
15	121	no
16	130	no

Questions

What is x in 9x − 14 = 112?

The solution of 9x − 14 = 112 is x = 14.

How do you solve 9x − 14 = 112?

Add 14 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) − 14 = 112, which is 112.

Solve 9x − 14 = 112

How to work it out

Trying values of x in 9x − 14 = 112

Questions

Similar equations