Solve 11x − 12 = 43

The solution of 11x − 12 = 43 is x = 5.

11x - 12 = 43\ \Rightarrow\ x = 5

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

The lines y = 11x − 12 and y = 43 meet at x = 5. 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.
$11x - 12 = 43$
2
Add 12 to both sides:
$11x - 12 + 12 = 43 + 12 \ \Rightarrow\ 11x = 55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$11\cdot5 - 12 = 55 - 12 = 43 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = 43\ \Rightarrow\ x = 5 \]
\[ 11x - 12 = 43 \]
\[ 11x - 12 + 12 = 43 + 12 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 - 12 = 55 - 12 = 43 \checkmark \]

Trying values of x in 11x − 12 = 43

x	11x − 12	Equals 43?
3	21	no
4	32	no
5	43	yes
6	54	no
7	65	no

Questions

What is x in 11x − 12 = 43?

The solution of 11x − 12 = 43 is x = 5.

How do you solve 11x − 12 = 43?

Add 12 to both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) − 12 = 43, which is 43.

Solve 11x − 12 = 43

How to work it out

Trying values of x in 11x − 12 = 43

Questions

Similar equations