Solve 9x − 2 = −56

The solution of 9x − 2 = −56 is x = -6.

9x - 2 = -56\ \Rightarrow\ x = -6

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The lines y = 9x − 2 and y = -56 meet at x = -6. 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.
$9x - 2 = -56$
2
Add 2 to both sides:
$9x - 2 + 2 = -56 + 2 \ \Rightarrow\ 9x = -54$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$9\cdot(-6) - 2 = -54 - 2 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 2 = -56\ \Rightarrow\ x = -6 \]
\[ 9x - 2 = -56 \]
\[ 9x - 2 + 2 = -56 + 2 \ \Rightarrow\ 9x = -54 \]
\[ \frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6 \]
\[ 9\cdot(-6) - 2 = -54 - 2 = -56 \checkmark \]

Trying values of x in 9x − 2 = −56

x	9x − 2	Equals -56?
-8	-74	no
-7	-65	no
-6	-56	yes
-5	-47	no
-4	-38	no

Questions

What is x in 9x − 2 = −56?

The solution of 9x − 2 = −56 is x = -6.

How do you solve 9x − 2 = −56?

Add 2 to both sides to get 9x = -54, then divide both sides by 9 to get x = -6.

How do I check the answer?

Replace x by -6: 9(-6) − 2 = -56, which is -56.

Solve 9x − 2 = −56

How to work it out

Trying values of x in 9x − 2 = −56

Questions

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