Solve 12x + 4 = −8

The solution of 12x + 4 = −8 is x = -1.

12x + 4 = -8\ \Rightarrow\ x = -1

Explain it step by step in chat Make a short video of it

The lines y = 12x + 4 and y = -8 meet at x = -1. 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.
$12x + 4 = -8$
2
Subtract 4 from both sides:
$12x + 4 - 4 = -8 - 4 \ \Rightarrow\ 12x = -12$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$12\cdot(-1) + 4 = -12 + 4 = -8 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 4 = -8\ \Rightarrow\ x = -1 \]
\[ 12x + 4 = -8 \]
\[ 12x + 4 - 4 = -8 - 4 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) + 4 = -12 + 4 = -8 \checkmark \]

Trying values of x in 12x + 4 = −8

x	12x + 4	Equals -8?
-3	-32	no
-2	-20	no
-1	-8	yes
0	4	no
1	16	no

Questions

What is x in 12x + 4 = −8?

The solution of 12x + 4 = −8 is x = -1.

How do you solve 12x + 4 = −8?

Subtract 4 from both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) + 4 = -8, which is -8.

Solve 12x + 4 = −8

How to work it out

Trying values of x in 12x + 4 = −8

Questions

Similar equations