Solve 12x − 7 = 161

The solution of 12x − 7 = 161 is x = 14.

12x - 7 = 161\ \Rightarrow\ x = 14

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The lines y = 12x − 7 and y = 161 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.
$12x - 7 = 161$
2
Add 7 to both sides:
$12x - 7 + 7 = 161 + 7 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 - 7 = 168 - 7 = 161 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 161\ \Rightarrow\ x = 14 \]
\[ 12x - 7 = 161 \]
\[ 12x - 7 + 7 = 161 + 7 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 - 7 = 168 - 7 = 161 \checkmark \]

Trying values of x in 12x − 7 = 161

x	12x − 7	Equals 161?
12	137	no
13	149	no
14	161	yes
15	173	no
16	185	no

Questions

What is x in 12x − 7 = 161?

The solution of 12x − 7 = 161 is x = 14.

How do you solve 12x − 7 = 161?

Add 7 to both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) − 7 = 161, which is 161.

Solve 12x − 7 = 161

How to work it out

Trying values of x in 12x − 7 = 161

Questions

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