Solve 9x + 12 = −42

The solution of 9x + 12 = −42 is x = -6.

9x + 12 = -42\ \Rightarrow\ x = -6

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The lines y = 9x + 12 and y = -42 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 addition, then the multiplication.
$9x + 12 = -42$
2
Subtract 12 from both sides:
$9x + 12 - 12 = -42 - 12 \ \Rightarrow\ 9x = -54$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$9\cdot(-6) + 12 = -54 + 12 = -42 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 12 = -42\ \Rightarrow\ x = -6 \]
\[ 9x + 12 = -42 \]
\[ 9x + 12 - 12 = -42 - 12 \ \Rightarrow\ 9x = -54 \]
\[ \frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6 \]
\[ 9\cdot(-6) + 12 = -54 + 12 = -42 \checkmark \]

Trying values of x in 9x + 12 = −42

x	9x + 12	Equals -42?
-8	-60	no
-7	-51	no
-6	-42	yes
-5	-33	no
-4	-24	no

Questions

What is x in 9x + 12 = −42?

The solution of 9x + 12 = −42 is x = -6.

How do you solve 9x + 12 = −42?

Subtract 12 from 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) + 12 = -42, which is -42.

Solve 9x + 12 = −42

How to work it out

Trying values of x in 9x + 12 = −42

Questions

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