Solve 4x − 11 = 37

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

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

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

The lines y = 4x − 11 and y = 37 meet at x = 12. 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.
$4x - 11 = 37$
2
Add 11 to both sides:
$4x - 11 + 11 = 37 + 11 \ \Rightarrow\ 4x = 48$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$4\cdot12 - 11 = 48 - 11 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = 37\ \Rightarrow\ x = 12 \]
\[ 4x - 11 = 37 \]
\[ 4x - 11 + 11 = 37 + 11 \ \Rightarrow\ 4x = 48 \]
\[ \frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12 \]
\[ 4\cdot12 - 11 = 48 - 11 = 37 \checkmark \]

Trying values of x in 4x − 11 = 37

x	4x − 11	Equals 37?
10	29	no
11	33	no
12	37	yes
13	41	no
14	45	no

Questions

What is x in 4x − 11 = 37?

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

How do you solve 4x − 11 = 37?

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

How do I check the answer?

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

Solve 4x − 11 = 37

How to work it out

Trying values of x in 4x − 11 = 37

Questions

Similar equations