Solve 9x + 12 = −6

The solution of 9x + 12 = −6 is x = -2.

9x + 12 = -6\ \Rightarrow\ x = -2

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The lines y = 9x + 12 and y = -6 meet at x = -2. 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.
$9x + 12 = -6$
2
Subtract 12 from both sides:
$9x + 12 - 12 = -6 - 12 \ \Rightarrow\ 9x = -18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$9\cdot(-2) + 12 = -18 + 12 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 12 = -6\ \Rightarrow\ x = -2 \]
\[ 9x + 12 = -6 \]
\[ 9x + 12 - 12 = -6 - 12 \ \Rightarrow\ 9x = -18 \]
\[ \frac{9x}{9} = \frac{-18}{9} \ \Rightarrow\ x = -2 \]
\[ 9\cdot(-2) + 12 = -18 + 12 = -6 \checkmark \]

Trying values of x in 9x + 12 = −6

x	9x + 12	Equals -6?
-4	-24	no
-3	-15	no
-2	-6	yes
-1	3	no
0	12	no

Questions

What is x in 9x + 12 = −6?

The solution of 9x + 12 = −6 is x = -2.

How do you solve 9x + 12 = −6?

Subtract 12 from both sides to get 9x = -18, then divide both sides by 9 to get x = -2.

How do I check the answer?

Replace x by -2: 9(-2) + 12 = -6, which is -6.

Solve 9x + 12 = −6

How to work it out

Trying values of x in 9x + 12 = −6

Questions

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