Solve 7x − 2 = 82

The solution of 7x − 2 = 82 is x = 12.

7x - 2 = 82\ \Rightarrow\ x = 12

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The lines y = 7x − 2 and y = 82 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.
$7x - 2 = 82$
2
Add 2 to both sides:
$7x - 2 + 2 = 82 + 2 \ \Rightarrow\ 7x = 84$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$7\cdot12 - 2 = 84 - 2 = 82 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 2 = 82\ \Rightarrow\ x = 12 \]
\[ 7x - 2 = 82 \]
\[ 7x - 2 + 2 = 82 + 2 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 - 2 = 84 - 2 = 82 \checkmark \]

Trying values of x in 7x − 2 = 82

x	7x − 2	Equals 82?
10	68	no
11	75	no
12	82	yes
13	89	no
14	96	no

Questions

What is x in 7x − 2 = 82?

The solution of 7x − 2 = 82 is x = 12.

How do you solve 7x − 2 = 82?

Add 2 to both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) − 2 = 82, which is 82.

Solve 7x − 2 = 82

How to work it out

Trying values of x in 7x − 2 = 82

Questions

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