Solve 11x − 13 = 75

The solution of 11x − 13 = 75 is x = 8.

11x - 13 = 75\ \Rightarrow\ x = 8

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The lines y = 11x − 13 and y = 75 meet at x = 8. 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.
$11x - 13 = 75$
2
Add 13 to both sides:
$11x - 13 + 13 = 75 + 13 \ \Rightarrow\ 11x = 88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$11\cdot8 - 13 = 88 - 13 = 75 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = 75\ \Rightarrow\ x = 8 \]
\[ 11x - 13 = 75 \]
\[ 11x - 13 + 13 = 75 + 13 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 - 13 = 88 - 13 = 75 \checkmark \]

Trying values of x in 11x − 13 = 75

x	11x − 13	Equals 75?
6	53	no
7	64	no
8	75	yes
9	86	no
10	97	no

Questions

What is x in 11x − 13 = 75?

The solution of 11x − 13 = 75 is x = 8.

How do you solve 11x − 13 = 75?

Add 13 to both sides to get 11x = 88, then divide both sides by 11 to get x = 8.

How do I check the answer?

Replace x by 8: 11(8) − 13 = 75, which is 75.

Solve 11x − 13 = 75

How to work it out

Trying values of x in 11x − 13 = 75

Questions

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