Solve 11x − 15 = 51

The solution of 11x − 15 = 51 is x = 6.

11x - 15 = 51\ \Rightarrow\ x = 6

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

The lines y = 11x − 15 and y = 51 meet at x = 6. 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.
$11x - 15 = 51$
2
Add 15 to both sides:
$11x - 15 + 15 = 51 + 15 \ \Rightarrow\ 11x = 66$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$11\cdot6 - 15 = 66 - 15 = 51 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = 51\ \Rightarrow\ x = 6 \]
\[ 11x - 15 = 51 \]
\[ 11x - 15 + 15 = 51 + 15 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 15 = 66 - 15 = 51 \checkmark \]

Trying values of x in 11x − 15 = 51

x	11x − 15	Equals 51?
4	29	no
5	40	no
6	51	yes
7	62	no
8	73	no

Questions

What is x in 11x − 15 = 51?

The solution of 11x − 15 = 51 is x = 6.

How do you solve 11x − 15 = 51?

Add 15 to both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) − 15 = 51, which is 51.

Solve 11x − 15 = 51

How to work it out

Trying values of x in 11x − 15 = 51

Questions

Similar equations