Solve 12x + 8 = −4

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 12x + 8 = −4

x	12x + 8	Equals -4?
-3	-28	no
-2	-16	no
-1	-4	yes
0	8	no
1	20	no

Questions

What is x in 12x + 8 = −4?

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

How do you solve 12x + 8 = −4?

Subtract 8 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) + 8 = -4, which is -4.

Solve 12x + 8 = −4

How to work it out

Trying values of x in 12x + 8 = −4

Questions

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