Solve 2x − 5 = 19

The solution of 2x − 5 = 19 is x = 12.

2x - 5 = 19\ \Rightarrow\ x = 12

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The lines y = 2x − 5 and y = 19 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.
$2x - 5 = 19$
2
Add 5 to both sides:
$2x - 5 + 5 = 19 + 5 \ \Rightarrow\ 2x = 24$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$2\cdot12 - 5 = 24 - 5 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 5 = 19\ \Rightarrow\ x = 12 \]
\[ 2x - 5 = 19 \]
\[ 2x - 5 + 5 = 19 + 5 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 - 5 = 24 - 5 = 19 \checkmark \]

Trying values of x in 2x − 5 = 19

x	2x − 5	Equals 19?
10	15	no
11	17	no
12	19	yes
13	21	no
14	23	no

Questions

What is x in 2x − 5 = 19?

The solution of 2x − 5 = 19 is x = 12.

How do you solve 2x − 5 = 19?

Add 5 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) − 5 = 19, which is 19.

Solve 2x − 5 = 19

How to work it out

Trying values of x in 2x − 5 = 19

Questions

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