Solve 9x − 2 = −29

The solution of 9x − 2 = −29 is x = -3.

9x - 2 = -29\ \Rightarrow\ x = -3

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

The lines y = 9x − 2 and y = -29 meet at x = -3. 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.
$9x - 2 = -29$
2
Add 2 to both sides:
$9x - 2 + 2 = -29 + 2 \ \Rightarrow\ 9x = -27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$9\cdot(-3) - 2 = -27 - 2 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 2 = -29\ \Rightarrow\ x = -3 \]
\[ 9x - 2 = -29 \]
\[ 9x - 2 + 2 = -29 + 2 \ \Rightarrow\ 9x = -27 \]
\[ \frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3 \]
\[ 9\cdot(-3) - 2 = -27 - 2 = -29 \checkmark \]

Trying values of x in 9x − 2 = −29

x	9x − 2	Equals -29?
-5	-47	no
-4	-38	no
-3	-29	yes
-2	-20	no
-1	-11	no

Questions

What is x in 9x − 2 = −29?

The solution of 9x − 2 = −29 is x = -3.

How do you solve 9x − 2 = −29?

Add 2 to both sides to get 9x = -27, then divide both sides by 9 to get x = -3.

How do I check the answer?

Replace x by -3: 9(-3) − 2 = -29, which is -29.

Solve 9x − 2 = −29

How to work it out

Trying values of x in 9x − 2 = −29

Questions

Similar equations