Solve 11x − 6 = 71

The solution of 11x − 6 = 71 is x = 7.

11x - 6 = 71\ \Rightarrow\ x = 7

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The lines y = 11x − 6 and y = 71 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.
$11x - 6 = 71$
2
Add 6 to both sides:
$11x - 6 + 6 = 71 + 6 \ \Rightarrow\ 11x = 77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$11\cdot7 - 6 = 77 - 6 = 71 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = 71\ \Rightarrow\ x = 7 \]
\[ 11x - 6 = 71 \]
\[ 11x - 6 + 6 = 71 + 6 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 - 6 = 77 - 6 = 71 \checkmark \]

Trying values of x in 11x − 6 = 71

x	11x − 6	Equals 71?
5	49	no
6	60	no
7	71	yes
8	82	no
9	93	no

Questions

What is x in 11x − 6 = 71?

The solution of 11x − 6 = 71 is x = 7.

How do you solve 11x − 6 = 71?

Add 6 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) − 6 = 71, which is 71.

Solve 11x − 6 = 71

How to work it out

Trying values of x in 11x − 6 = 71

Questions

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