Solve 2x − 10 = 14

The solution of 2x − 10 = 14 is x = 12.

2x - 10 = 14\ \Rightarrow\ x = 12

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The lines y = 2x − 10 and y = 14 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.
$2x - 10 = 14$
2
Add 10 to both sides:
$2x - 10 + 10 = 14 + 10 \ \Rightarrow\ 2x = 24$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$2\cdot12 - 10 = 24 - 10 = 14 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 10 = 14\ \Rightarrow\ x = 12 \]
\[ 2x - 10 = 14 \]
\[ 2x - 10 + 10 = 14 + 10 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 - 10 = 24 - 10 = 14 \checkmark \]

Trying values of x in 2x − 10 = 14

x	2x − 10	Equals 14?
10	10	no
11	12	no
12	14	yes
13	16	no
14	18	no

Questions

What is x in 2x − 10 = 14?

The solution of 2x − 10 = 14 is x = 12.

How do you solve 2x − 10 = 14?

Add 10 to both sides to get 2x = 24, then divide both sides by 2 to get x = 12.

How do I check the answer?

Replace x by 12: 2(12) − 10 = 14, which is 14.

Solve 2x − 10 = 14

How to work it out

Trying values of x in 2x − 10 = 14

Questions

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