Solve 12x − 7 = 65

The solution of 12x − 7 = 65 is x = 6.

12x - 7 = 65\ \Rightarrow\ x = 6

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The lines y = 12x − 7 and y = 65 meet at x = 6. 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.
$12x - 7 = 65$
2
Add 7 to both sides:
$12x - 7 + 7 = 65 + 7 \ \Rightarrow\ 12x = 72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$12\cdot6 - 7 = 72 - 7 = 65 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 65\ \Rightarrow\ x = 6 \]
\[ 12x - 7 = 65 \]
\[ 12x - 7 + 7 = 65 + 7 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 - 7 = 72 - 7 = 65 \checkmark \]

Trying values of x in 12x − 7 = 65

x	12x − 7	Equals 65?
4	41	no
5	53	no
6	65	yes
7	77	no
8	89	no

Questions

What is x in 12x − 7 = 65?

The solution of 12x − 7 = 65 is x = 6.

How do you solve 12x − 7 = 65?

Add 7 to both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) − 7 = 65, which is 65.

Solve 12x − 7 = 65

How to work it out

Trying values of x in 12x − 7 = 65

Questions

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