Solve 11x − 4 = 40

The solution of 11x − 4 = 40 is x = 4.

11x - 4 = 40\ \Rightarrow\ x = 4

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The lines y = 11x − 4 and y = 40 meet at x = 4. 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.
$11x - 4 = 40$
2
Add 4 to both sides:
$11x - 4 + 4 = 40 + 4 \ \Rightarrow\ 11x = 44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$11\cdot4 - 4 = 44 - 4 = 40 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 4 = 40\ \Rightarrow\ x = 4 \]
\[ 11x - 4 = 40 \]
\[ 11x - 4 + 4 = 40 + 4 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 - 4 = 44 - 4 = 40 \checkmark \]

Trying values of x in 11x − 4 = 40

x	11x − 4	Equals 40?
2	18	no
3	29	no
4	40	yes
5	51	no
6	62	no

Questions

What is x in 11x − 4 = 40?

The solution of 11x − 4 = 40 is x = 4.

How do you solve 11x − 4 = 40?

Add 4 to both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) − 4 = 40, which is 40.

Solve 11x − 4 = 40

How to work it out

Trying values of x in 11x − 4 = 40

Questions

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