Solve 12x + 4 = −116

The solution of 12x + 4 = −116 is x = -10.

12x + 4 = -116\ \Rightarrow\ x = -10

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The lines y = 12x + 4 and y = -116 meet at x = -10. 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.
$12x + 4 = -116$
2
Subtract 4 from both sides:
$12x + 4 - 4 = -116 - 4 \ \Rightarrow\ 12x = -120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$12\cdot(-10) + 4 = -120 + 4 = -116 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 4 = -116\ \Rightarrow\ x = -10 \]
\[ 12x + 4 = -116 \]
\[ 12x + 4 - 4 = -116 - 4 \ \Rightarrow\ 12x = -120 \]
\[ \frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10 \]
\[ 12\cdot(-10) + 4 = -120 + 4 = -116 \checkmark \]

Trying values of x in 12x + 4 = −116

x	12x + 4	Equals -116?
-12	-140	no
-11	-128	no
-10	-116	yes
-9	-104	no
-8	-92	no

Questions

What is x in 12x + 4 = −116?

The solution of 12x + 4 = −116 is x = -10.

How do you solve 12x + 4 = −116?

Subtract 4 from both sides to get 12x = -120, then divide both sides by 12 to get x = -10.

How do I check the answer?

Replace x by -10: 12(-10) + 4 = -116, which is -116.

Solve 12x + 4 = −116

How to work it out

Trying values of x in 12x + 4 = −116

Questions

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