Solve 12x + 2 = −106

The solution of 12x + 2 = −106 is x = -9.

12x + 2 = -106\ \Rightarrow\ x = -9

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The lines y = 12x + 2 and y = -106 meet at x = -9. 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.
$12x + 2 = -106$
2
Subtract 2 from both sides:
$12x + 2 - 2 = -106 - 2 \ \Rightarrow\ 12x = -108$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-108}{12} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$12\cdot(-9) + 2 = -108 + 2 = -106 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 2 = -106\ \Rightarrow\ x = -9 \]
\[ 12x + 2 = -106 \]
\[ 12x + 2 - 2 = -106 - 2 \ \Rightarrow\ 12x = -108 \]
\[ \frac{12x}{12} = \frac{-108}{12} \ \Rightarrow\ x = -9 \]
\[ 12\cdot(-9) + 2 = -108 + 2 = -106 \checkmark \]

Trying values of x in 12x + 2 = −106

x	12x + 2	Equals -106?
-11	-130	no
-10	-118	no
-9	-106	yes
-8	-94	no
-7	-82	no

Questions

What is x in 12x + 2 = −106?

The solution of 12x + 2 = −106 is x = -9.

How do you solve 12x + 2 = −106?

Subtract 2 from both sides to get 12x = -108, then divide both sides by 12 to get x = -9.

How do I check the answer?

Replace x by -9: 12(-9) + 2 = -106, which is -106.

Solve 12x + 2 = −106

How to work it out

Trying values of x in 12x + 2 = −106

Questions

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