Solve 11x − 12 = 65

The solution of 11x − 12 = 65 is x = 7.

11x - 12 = 65\ \Rightarrow\ x = 7

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The lines y = 11x − 12 and y = 65 meet at x = 7. 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.
$11x - 12 = 65$
2
Add 12 to both sides:
$11x - 12 + 12 = 65 + 12 \ \Rightarrow\ 11x = 77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$11\cdot7 - 12 = 77 - 12 = 65 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = 65\ \Rightarrow\ x = 7 \]
\[ 11x - 12 = 65 \]
\[ 11x - 12 + 12 = 65 + 12 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 - 12 = 77 - 12 = 65 \checkmark \]

Trying values of x in 11x − 12 = 65

x	11x − 12	Equals 65?
5	43	no
6	54	no
7	65	yes
8	76	no
9	87	no

Questions

What is x in 11x − 12 = 65?

The solution of 11x − 12 = 65 is x = 7.

How do you solve 11x − 12 = 65?

Add 12 to both sides to get 11x = 77, then divide both sides by 11 to get x = 7.

How do I check the answer?

Replace x by 7: 11(7) − 12 = 65, which is 65.

Solve 11x − 12 = 65

How to work it out

Trying values of x in 11x − 12 = 65

Questions

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