Solve 12x − 6 = −102

The solution of 12x − 6 = −102 is x = -8.

12x - 6 = -102\ \Rightarrow\ x = -8

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The lines y = 12x − 6 and y = -102 meet at x = -8. 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.
$12x - 6 = -102$
2
Add 6 to both sides:
$12x - 6 + 6 = -102 + 6 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) - 6 = -96 - 6 = -102 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 6 = -102\ \Rightarrow\ x = -8 \]
\[ 12x - 6 = -102 \]
\[ 12x - 6 + 6 = -102 + 6 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) - 6 = -96 - 6 = -102 \checkmark \]

Trying values of x in 12x − 6 = −102

x	12x − 6	Equals -102?
-10	-126	no
-9	-114	no
-8	-102	yes
-7	-90	no
-6	-78	no

Questions

What is x in 12x − 6 = −102?

The solution of 12x − 6 = −102 is x = -8.

How do you solve 12x − 6 = −102?

Add 6 to both sides to get 12x = -96, then divide both sides by 12 to get x = -8.

How do I check the answer?

Replace x by -8: 12(-8) − 6 = -102, which is -102.

Solve 12x − 6 = −102

How to work it out

Trying values of x in 12x − 6 = −102

Questions

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