Solve 11x − 3 = 107

The solution of 11x − 3 = 107 is x = 10.

11x - 3 = 107\ \Rightarrow\ x = 10

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The lines y = 11x − 3 and y = 107 meet at x = 10. 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.
$11x - 3 = 107$
2
Add 3 to both sides:
$11x - 3 + 3 = 107 + 3 \ \Rightarrow\ 11x = 110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$11\cdot10 - 3 = 110 - 3 = 107 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 3 = 107\ \Rightarrow\ x = 10 \]
\[ 11x - 3 = 107 \]
\[ 11x - 3 + 3 = 107 + 3 \ \Rightarrow\ 11x = 110 \]
\[ \frac{11x}{11} = \frac{110}{11} \ \Rightarrow\ x = 10 \]
\[ 11\cdot10 - 3 = 110 - 3 = 107 \checkmark \]

Trying values of x in 11x − 3 = 107

x	11x − 3	Equals 107?
8	85	no
9	96	no
10	107	yes
11	118	no
12	129	no

Questions

What is x in 11x − 3 = 107?

The solution of 11x − 3 = 107 is x = 10.

How do you solve 11x − 3 = 107?

Add 3 to both sides to get 11x = 110, then divide both sides by 11 to get x = 10.

How do I check the answer?

Replace x by 10: 11(10) − 3 = 107, which is 107.

Solve 11x − 3 = 107

How to work it out

Trying values of x in 11x − 3 = 107

Questions

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