Solve 9x + 3 = −6

The solution of 9x + 3 = −6 is x = -1.

9x + 3 = -6\ \Rightarrow\ x = -1

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The lines y = 9x + 3 and y = -6 meet at x = -1. 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.
$9x + 3 = -6$
2
Subtract 3 from both sides:
$9x + 3 - 3 = -6 - 3 \ \Rightarrow\ 9x = -9$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$9\cdot(-1) + 3 = -9 + 3 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 3 = -6\ \Rightarrow\ x = -1 \]
\[ 9x + 3 = -6 \]
\[ 9x + 3 - 3 = -6 - 3 \ \Rightarrow\ 9x = -9 \]
\[ \frac{9x}{9} = \frac{-9}{9} \ \Rightarrow\ x = -1 \]
\[ 9\cdot(-1) + 3 = -9 + 3 = -6 \checkmark \]

Trying values of x in 9x + 3 = −6

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

Questions

What is x in 9x + 3 = −6?

The solution of 9x + 3 = −6 is x = -1.

How do you solve 9x + 3 = −6?

Subtract 3 from both sides to get 9x = -9, then divide both sides by 9 to get x = -1.

How do I check the answer?

Replace x by -1: 9(-1) + 3 = -6, which is -6.

Solve 9x + 3 = −6

How to work it out

Trying values of x in 9x + 3 = −6

Questions

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