Solve 12x − 11 = 37

The solution of 12x − 11 = 37 is x = 4.

12x - 11 = 37\ \Rightarrow\ x = 4

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

The lines y = 12x − 11 and y = 37 meet at x = 4. 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.
$12x - 11 = 37$
2
Add 11 to both sides:
$12x - 11 + 11 = 37 + 11 \ \Rightarrow\ 12x = 48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$12\cdot4 - 11 = 48 - 11 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 37\ \Rightarrow\ x = 4 \]
\[ 12x - 11 = 37 \]
\[ 12x - 11 + 11 = 37 + 11 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 - 11 = 48 - 11 = 37 \checkmark \]

Trying values of x in 12x − 11 = 37

x	12x − 11	Equals 37?
2	13	no
3	25	no
4	37	yes
5	49	no
6	61	no

Questions

What is x in 12x − 11 = 37?

The solution of 12x − 11 = 37 is x = 4.

How do you solve 12x − 11 = 37?

Add 11 to both sides to get 12x = 48, then divide both sides by 12 to get x = 4.

How do I check the answer?

Replace x by 4: 12(4) − 11 = 37, which is 37.

Solve 12x − 11 = 37

How to work it out

Trying values of x in 12x − 11 = 37

Questions

Similar equations