Solve 11x − 10 = 56

The solution of 11x − 10 = 56 is x = 6.

11x - 10 = 56\ \Rightarrow\ x = 6

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The lines y = 11x − 10 and y = 56 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.
$11x - 10 = 56$
2
Add 10 to both sides:
$11x - 10 + 10 = 56 + 10 \ \Rightarrow\ 11x = 66$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$11\cdot6 - 10 = 66 - 10 = 56 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = 56\ \Rightarrow\ x = 6 \]
\[ 11x - 10 = 56 \]
\[ 11x - 10 + 10 = 56 + 10 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 10 = 66 - 10 = 56 \checkmark \]

Trying values of x in 11x − 10 = 56

x	11x − 10	Equals 56?
4	34	no
5	45	no
6	56	yes
7	67	no
8	78	no

Questions

What is x in 11x − 10 = 56?

The solution of 11x − 10 = 56 is x = 6.

How do you solve 11x − 10 = 56?

Add 10 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) − 10 = 56, which is 56.

Solve 11x − 10 = 56

How to work it out

Trying values of x in 11x − 10 = 56

Questions

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