Solve 11x − 6 = 38

The solution of 11x − 6 = 38 is x = 4.

11x - 6 = 38\ \Rightarrow\ x = 4

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The lines y = 11x − 6 and y = 38 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.
$11x - 6 = 38$
2
Add 6 to both sides:
$11x - 6 + 6 = 38 + 6 \ \Rightarrow\ 11x = 44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$11\cdot4 - 6 = 44 - 6 = 38 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = 38\ \Rightarrow\ x = 4 \]
\[ 11x - 6 = 38 \]
\[ 11x - 6 + 6 = 38 + 6 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 - 6 = 44 - 6 = 38 \checkmark \]

Trying values of x in 11x − 6 = 38

x	11x − 6	Equals 38?
2	16	no
3	27	no
4	38	yes
5	49	no
6	60	no

Questions

What is x in 11x − 6 = 38?

The solution of 11x − 6 = 38 is x = 4.

How do you solve 11x − 6 = 38?

Add 6 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) − 6 = 38, which is 38.

Solve 11x − 6 = 38

How to work it out

Trying values of x in 11x − 6 = 38

Questions

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