Solve 2x − 12 = 2

The solution of 2x − 12 = 2 is x = 7.

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

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The lines y = 2x − 12 and y = 2 meet at x = 7. 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.
$2x - 12 = 2$
2
Add 12 to both sides:
$2x - 12 + 12 = 2 + 12 \ \Rightarrow\ 2x = 14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$2\cdot7 - 12 = 14 - 12 = 2 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = 2\ \Rightarrow\ x = 7 \]
\[ 2x - 12 = 2 \]
\[ 2x - 12 + 12 = 2 + 12 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 - 12 = 14 - 12 = 2 \checkmark \]

Trying values of x in 2x − 12 = 2

x	2x − 12	Equals 2?
5	-2	no
6	0	no
7	2	yes
8	4	no
9	6	no

Questions

What is x in 2x − 12 = 2?

The solution of 2x − 12 = 2 is x = 7.

How do you solve 2x − 12 = 2?

Add 12 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

How do I check the answer?

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

Solve 2x − 12 = 2

How to work it out

Trying values of x in 2x − 12 = 2

Questions

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