Solve 8x − 11 = 85

The solution of 8x − 11 = 85 is x = 12.

8x - 11 = 85\ \Rightarrow\ x = 12

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The lines y = 8x − 11 and y = 85 meet at x = 12. 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.
$8x - 11 = 85$
2
Add 11 to both sides:
$8x - 11 + 11 = 85 + 11 \ \Rightarrow\ 8x = 96$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$8\cdot12 - 11 = 96 - 11 = 85 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = 85\ \Rightarrow\ x = 12 \]
\[ 8x - 11 = 85 \]
\[ 8x - 11 + 11 = 85 + 11 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 - 11 = 96 - 11 = 85 \checkmark \]

Trying values of x in 8x − 11 = 85

x	8x − 11	Equals 85?
10	69	no
11	77	no
12	85	yes
13	93	no
14	101	no

Questions

What is x in 8x − 11 = 85?

The solution of 8x − 11 = 85 is x = 12.

How do you solve 8x − 11 = 85?

Add 11 to both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) − 11 = 85, which is 85.

Solve 8x − 11 = 85

How to work it out

Trying values of x in 8x − 11 = 85

Questions

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