Solve 2x − 1 = 19

The solution of 2x − 1 = 19 is x = 10.

2x - 1 = 19\ \Rightarrow\ x = 10

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The lines y = 2x − 1 and y = 19 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.
$2x - 1 = 19$
2
Add 1 to both sides:
$2x - 1 + 1 = 19 + 1 \ \Rightarrow\ 2x = 20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$2\cdot10 - 1 = 20 - 1 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 1 = 19\ \Rightarrow\ x = 10 \]
\[ 2x - 1 = 19 \]
\[ 2x - 1 + 1 = 19 + 1 \ \Rightarrow\ 2x = 20 \]
\[ \frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10 \]
\[ 2\cdot10 - 1 = 20 - 1 = 19 \checkmark \]

Trying values of x in 2x − 1 = 19

x	2x − 1	Equals 19?
8	15	no
9	17	no
10	19	yes
11	21	no
12	23	no

Questions

What is x in 2x − 1 = 19?

The solution of 2x − 1 = 19 is x = 10.

How do you solve 2x − 1 = 19?

Add 1 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) − 1 = 19, which is 19.

Solve 2x − 1 = 19

How to work it out

Trying values of x in 2x − 1 = 19

Questions

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