Solve 11x − 5 = 105

The solution of 11x − 5 = 105 is x = 10.

11x - 5 = 105\ \Rightarrow\ x = 10

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

The lines y = 11x − 5 and y = 105 meet at x = 10. 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.
$11x - 5 = 105$
2
Add 5 to both sides:
$11x - 5 + 5 = 105 + 5 \ \Rightarrow\ 11x = 110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$11\cdot10 - 5 = 110 - 5 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 105\ \Rightarrow\ x = 10 \]
\[ 11x - 5 = 105 \]
\[ 11x - 5 + 5 = 105 + 5 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 - 5 = 110 - 5 = 105 \checkmark \]

Trying values of x in 11x − 5 = 105

x	11x − 5	Equals 105?
8	83	no
9	94	no
10	105	yes
11	116	no
12	127	no

Questions

What is x in 11x − 5 = 105?

The solution of 11x − 5 = 105 is x = 10.

How do you solve 11x − 5 = 105?

Add 5 to both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) − 5 = 105, which is 105.

Solve 11x − 5 = 105

How to work it out

Trying values of x in 11x − 5 = 105

Questions

Similar equations