Solve 2x − 12 = 8

The solution of 2x − 12 = 8 is x = 10.

2x - 12 = 8\ \Rightarrow\ x = 10

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The lines y = 2x − 12 and y = 8 meet at x = 10. 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.
$2x - 12 = 8$
2
Add 12 to both sides:
$2x - 12 + 12 = 8 + 12 \ \Rightarrow\ 2x = 20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$2\cdot10 - 12 = 20 - 12 = 8 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = 8\ \Rightarrow\ x = 10 \]
\[ 2x - 12 = 8 \]
\[ 2x - 12 + 12 = 8 + 12 \ \Rightarrow\ 2x = 20 \]
\[ \frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10 \]
\[ 2\cdot10 - 12 = 20 - 12 = 8 \checkmark \]

Trying values of x in 2x − 12 = 8

x	2x − 12	Equals 8?
8	4	no
9	6	no
10	8	yes
11	10	no
12	12	no

Questions

What is x in 2x − 12 = 8?

The solution of 2x − 12 = 8 is x = 10.

How do you solve 2x − 12 = 8?

Add 12 to both sides to get 2x = 20, then divide both sides by 2 to get x = 10.

How do I check the answer?

Replace x by 10: 2(10) − 12 = 8, which is 8.

Solve 2x − 12 = 8

How to work it out

Trying values of x in 2x − 12 = 8

Questions

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