Solve 12x + 6 = −42

The solution of 12x + 6 = −42 is x = -4.

12x + 6 = -42\ \Rightarrow\ x = -4

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The lines y = 12x + 6 and y = -42 meet at x = -4. 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.
$12x + 6 = -42$
2
Subtract 6 from both sides:
$12x + 6 - 6 = -42 - 6 \ \Rightarrow\ 12x = -48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$12\cdot(-4) + 6 = -48 + 6 = -42 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 6 = -42\ \Rightarrow\ x = -4 \]
\[ 12x + 6 = -42 \]
\[ 12x + 6 - 6 = -42 - 6 \ \Rightarrow\ 12x = -48 \]
\[ \frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4 \]
\[ 12\cdot(-4) + 6 = -48 + 6 = -42 \checkmark \]

Trying values of x in 12x + 6 = −42

x	12x + 6	Equals -42?
-6	-66	no
-5	-54	no
-4	-42	yes
-3	-30	no
-2	-18	no

Questions

What is x in 12x + 6 = −42?

The solution of 12x + 6 = −42 is x = -4.

How do you solve 12x + 6 = −42?

Subtract 6 from both sides to get 12x = -48, then divide both sides by 12 to get x = -4.

How do I check the answer?

Replace x by -4: 12(-4) + 6 = -42, which is -42.

Solve 12x + 6 = −42

How to work it out

Trying values of x in 12x + 6 = −42

Questions

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