Solve 12x − 5 = 151

The solution of 12x − 5 = 151 is x = 13.

12x - 5 = 151\ \Rightarrow\ x = 13

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

The lines y = 12x − 5 and y = 151 meet at x = 13. 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.
$12x - 5 = 151$
2
Add 5 to both sides:
$12x - 5 + 5 = 151 + 5 \ \Rightarrow\ 12x = 156$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$12\cdot13 - 5 = 156 - 5 = 151 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 5 = 151\ \Rightarrow\ x = 13 \]
\[ 12x - 5 = 151 \]
\[ 12x - 5 + 5 = 151 + 5 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 - 5 = 156 - 5 = 151 \checkmark \]

Trying values of x in 12x − 5 = 151

x	12x − 5	Equals 151?
11	127	no
12	139	no
13	151	yes
14	163	no
15	175	no

Questions

What is x in 12x − 5 = 151?

The solution of 12x − 5 = 151 is x = 13.

How do you solve 12x − 5 = 151?

Add 5 to both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) − 5 = 151, which is 151.

Solve 12x − 5 = 151

How to work it out

Trying values of x in 12x − 5 = 151

Questions

Similar equations