Solve 11x − 1 = 76

The solution of 11x − 1 = 76 is x = 7.

11x - 1 = 76\ \Rightarrow\ x = 7

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The lines y = 11x − 1 and y = 76 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.
$11x - 1 = 76$
2
Add 1 to both sides:
$11x - 1 + 1 = 76 + 1 \ \Rightarrow\ 11x = 77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$11\cdot7 - 1 = 77 - 1 = 76 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 76\ \Rightarrow\ x = 7 \]
\[ 11x - 1 = 76 \]
\[ 11x - 1 + 1 = 76 + 1 \ \Rightarrow\ 11x = 77 \]
\[ \frac{11x}{11} = \frac{77}{11} \ \Rightarrow\ x = 7 \]
\[ 11\cdot7 - 1 = 77 - 1 = 76 \checkmark \]

Trying values of x in 11x − 1 = 76

x	11x − 1	Equals 76?
5	54	no
6	65	no
7	76	yes
8	87	no
9	98	no

Questions

What is x in 11x − 1 = 76?

The solution of 11x − 1 = 76 is x = 7.

How do you solve 11x − 1 = 76?

Add 1 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) − 1 = 76, which is 76.

Solve 11x − 1 = 76

How to work it out

Trying values of x in 11x − 1 = 76

Questions

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