Solve 9x − 7 = −34

The solution of 9x − 7 = −34 is x = -3.

9x - 7 = -34\ \Rightarrow\ x = -3

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The lines y = 9x − 7 and y = -34 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.
$9x - 7 = -34$
2
Add 7 to both sides:
$9x - 7 + 7 = -34 + 7 \ \Rightarrow\ 9x = -27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$9\cdot(-3) - 7 = -27 - 7 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = -34\ \Rightarrow\ x = -3 \]
\[ 9x - 7 = -34 \]
\[ 9x - 7 + 7 = -34 + 7 \ \Rightarrow\ 9x = -27 \]
\[ \frac{9x}{9} = \frac{-27}{9} \ \Rightarrow\ x = -3 \]
\[ 9\cdot(-3) - 7 = -27 - 7 = -34 \checkmark \]

Trying values of x in 9x − 7 = −34

x	9x − 7	Equals -34?
-5	-52	no
-4	-43	no
-3	-34	yes
-2	-25	no
-1	-16	no

Questions

What is x in 9x − 7 = −34?

The solution of 9x − 7 = −34 is x = -3.

How do you solve 9x − 7 = −34?

Add 7 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) − 7 = -34, which is -34.

Solve 9x − 7 = −34

How to work it out

Trying values of x in 9x − 7 = −34

Questions

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