Solve 11x − 5 = 61

The solution of 11x − 5 = 61 is x = 6.

11x - 5 = 61\ \Rightarrow\ x = 6

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The lines y = 11x − 5 and y = 61 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.
$11x - 5 = 61$
2
Add 5 to both sides:
$11x - 5 + 5 = 61 + 5 \ \Rightarrow\ 11x = 66$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$11\cdot6 - 5 = 66 - 5 = 61 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 61\ \Rightarrow\ x = 6 \]
\[ 11x - 5 = 61 \]
\[ 11x - 5 + 5 = 61 + 5 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 5 = 66 - 5 = 61 \checkmark \]

Trying values of x in 11x − 5 = 61

x	11x − 5	Equals 61?
4	39	no
5	50	no
6	61	yes
7	72	no
8	83	no

Questions

What is x in 11x − 5 = 61?

The solution of 11x − 5 = 61 is x = 6.

How do you solve 11x − 5 = 61?

Add 5 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) − 5 = 61, which is 61.

Solve 11x − 5 = 61

How to work it out

Trying values of x in 11x − 5 = 61

Questions

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