Solve 11x − 8 = 47

The solution of 11x − 8 = 47 is x = 5.

11x - 8 = 47\ \Rightarrow\ x = 5

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The lines y = 11x − 8 and y = 47 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.
$11x - 8 = 47$
2
Add 8 to both sides:
$11x - 8 + 8 = 47 + 8 \ \Rightarrow\ 11x = 55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$11\cdot5 - 8 = 55 - 8 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 8 = 47\ \Rightarrow\ x = 5 \]
\[ 11x - 8 = 47 \]
\[ 11x - 8 + 8 = 47 + 8 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 - 8 = 55 - 8 = 47 \checkmark \]

Trying values of x in 11x − 8 = 47

x	11x − 8	Equals 47?
3	25	no
4	36	no
5	47	yes
6	58	no
7	69	no

Questions

What is x in 11x − 8 = 47?

The solution of 11x − 8 = 47 is x = 5.

How do you solve 11x − 8 = 47?

Add 8 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) − 8 = 47, which is 47.

Solve 11x − 8 = 47

How to work it out

Trying values of x in 11x − 8 = 47

Questions

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