Solve 2x − 1 = −19

The solution of 2x − 1 = −19 is x = -9.

2x - 1 = -19\ \Rightarrow\ x = -9

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The lines y = 2x − 1 and y = -19 meet at x = -9. 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:
$2x - 1 + 1 = -19 + 1 \ \Rightarrow\ 2x = -18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$2\cdot(-9) - 1 = -18 - 1 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 1 = -19\ \Rightarrow\ x = -9 \]
\[ 2x - 1 = -19 \]
\[ 2x - 1 + 1 = -19 + 1 \ \Rightarrow\ 2x = -18 \]
\[ \frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9 \]
\[ 2\cdot(-9) - 1 = -18 - 1 = -19 \checkmark \]

Trying values of x in 2x − 1 = −19

x	2x − 1	Equals -19?
-11	-23	no
-10	-21	no
-9	-19	yes
-8	-17	no
-7	-15	no

Questions

What is x in 2x − 1 = −19?

The solution of 2x − 1 = −19 is x = -9.

How do you solve 2x − 1 = −19?

Add 1 to both sides to get 2x = -18, then divide both sides by 2 to get x = -9.

How do I check the answer?

Replace x by -9: 2(-9) − 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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