Solve 2x − 9 = −19

The solution of 2x − 9 = −19 is x = -5.

2x - 9 = -19\ \Rightarrow\ x = -5

Explain it step by step in chat Make a short video of it

The lines y = 2x − 9 and y = -19 meet at x = -5. 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.
$2x - 9 = -19$
2
Add 9 to both sides:
$2x - 9 + 9 = -19 + 9 \ \Rightarrow\ 2x = -10$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$2\cdot(-5) - 9 = -10 - 9 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 9 = -19\ \Rightarrow\ x = -5 \]
\[ 2x - 9 = -19 \]
\[ 2x - 9 + 9 = -19 + 9 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) - 9 = -10 - 9 = -19 \checkmark \]

Trying values of x in 2x − 9 = −19

x	2x − 9	Equals -19?
-7	-23	no
-6	-21	no
-5	-19	yes
-4	-17	no
-3	-15	no

Questions

What is x in 2x − 9 = −19?

The solution of 2x − 9 = −19 is x = -5.

How do you solve 2x − 9 = −19?

Add 9 to both sides to get 2x = -10, then divide both sides by 2 to get x = -5.

How do I check the answer?

Replace x by -5: 2(-5) − 9 = -19, which is -19.

Solve 2x − 9 = −19

How to work it out

Trying values of x in 2x − 9 = −19

Questions

Similar equations