Solve 6x − 12 = 60

The solution of 6x − 12 = 60 is x = 12.

6x - 12 = 60\ \Rightarrow\ x = 12

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The lines y = 6x − 12 and y = 60 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.
$6x - 12 = 60$
2
Add 12 to both sides:
$6x - 12 + 12 = 60 + 12 \ \Rightarrow\ 6x = 72$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$6\cdot12 - 12 = 72 - 12 = 60 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 12 = 60\ \Rightarrow\ x = 12 \]
\[ 6x - 12 = 60 \]
\[ 6x - 12 + 12 = 60 + 12 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 - 12 = 72 - 12 = 60 \checkmark \]

Trying values of x in 6x − 12 = 60

x	6x − 12	Equals 60?
10	48	no
11	54	no
12	60	yes
13	66	no
14	72	no

Questions

What is x in 6x − 12 = 60?

The solution of 6x − 12 = 60 is x = 12.

How do you solve 6x − 12 = 60?

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

How do I check the answer?

Replace x by 12: 6(12) − 12 = 60, which is 60.

Solve 6x − 12 = 60

How to work it out

Trying values of x in 6x − 12 = 60

Questions

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