Solve 2x − 12 = 16

The solution of 2x − 12 = 16 is x = 14.

2x - 12 = 16\ \Rightarrow\ x = 14

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The lines y = 2x − 12 and y = 16 meet at x = 14. 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.
$2x - 12 = 16$
2
Add 12 to both sides:
$2x - 12 + 12 = 16 + 12 \ \Rightarrow\ 2x = 28$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$2\cdot14 - 12 = 28 - 12 = 16 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = 16\ \Rightarrow\ x = 14 \]
\[ 2x - 12 = 16 \]
\[ 2x - 12 + 12 = 16 + 12 \ \Rightarrow\ 2x = 28 \]
\[ \frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14 \]
\[ 2\cdot14 - 12 = 28 - 12 = 16 \checkmark \]

Trying values of x in 2x − 12 = 16

x	2x − 12	Equals 16?
12	12	no
13	14	no
14	16	yes
15	18	no
16	20	no

Questions

What is x in 2x − 12 = 16?

The solution of 2x − 12 = 16 is x = 14.

How do you solve 2x − 12 = 16?

Add 12 to both sides to get 2x = 28, then divide both sides by 2 to get x = 14.

How do I check the answer?

Replace x by 14: 2(14) − 12 = 16, which is 16.

Solve 2x − 12 = 16

How to work it out

Trying values of x in 2x − 12 = 16

Questions

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