Solve 2x + 9 = −5

The solution of 2x + 9 = −5 is x = -7.

2x + 9 = -5\ \Rightarrow\ x = -7

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

The lines y = 2x + 9 and y = -5 meet at x = -7. 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 addition, then the multiplication.
$2x + 9 = -5$
2
Subtract 9 from both sides:
$2x + 9 - 9 = -5 - 9 \ \Rightarrow\ 2x = -14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$2\cdot(-7) + 9 = -14 + 9 = -5 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 9 = -5\ \Rightarrow\ x = -7 \]
\[ 2x + 9 = -5 \]
\[ 2x + 9 - 9 = -5 - 9 \ \Rightarrow\ 2x = -14 \]
\[ \frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7 \]
\[ 2\cdot(-7) + 9 = -14 + 9 = -5 \checkmark \]

Trying values of x in 2x + 9 = −5

x	2x + 9	Equals -5?
-9	-9	no
-8	-7	no
-7	-5	yes
-6	-3	no
-5	-1	no

Questions

What is x in 2x + 9 = −5?

The solution of 2x + 9 = −5 is x = -7.

How do you solve 2x + 9 = −5?

Subtract 9 from both sides to get 2x = -14, then divide both sides by 2 to get x = -7.

How do I check the answer?

Replace x by -7: 2(-7) + 9 = -5, which is -5.

Solve 2x + 9 = −5

How to work it out

Trying values of x in 2x + 9 = −5

Questions

Similar equations