Solve 7x − 6 = 85

The solution of 7x − 6 = 85 is x = 13.

7x - 6 = 85\ \Rightarrow\ x = 13

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The lines y = 7x − 6 and y = 85 meet at x = 13. 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.
$7x - 6 = 85$
2
Add 6 to both sides:
$7x - 6 + 6 = 85 + 6 \ \Rightarrow\ 7x = 91$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$7\cdot13 - 6 = 91 - 6 = 85 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 85\ \Rightarrow\ x = 13 \]
\[ 7x - 6 = 85 \]
\[ 7x - 6 + 6 = 85 + 6 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 - 6 = 91 - 6 = 85 \checkmark \]

Trying values of x in 7x − 6 = 85

x	7x − 6	Equals 85?
11	71	no
12	78	no
13	85	yes
14	92	no
15	99	no

Questions

What is x in 7x − 6 = 85?

The solution of 7x − 6 = 85 is x = 13.

How do you solve 7x − 6 = 85?

Add 6 to both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) − 6 = 85, which is 85.

Solve 7x − 6 = 85

How to work it out

Trying values of x in 7x − 6 = 85

Questions

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