Solve 12x − 4 = −76

The solution of 12x − 4 = −76 is x = -6.

12x - 4 = -76\ \Rightarrow\ x = -6

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

The lines y = 12x − 4 and y = -76 meet at x = -6. 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.
$12x - 4 = -76$
2
Add 4 to both sides:
$12x - 4 + 4 = -76 + 4 \ \Rightarrow\ 12x = -72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-72}{12} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$12\cdot(-6) - 4 = -72 - 4 = -76 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 4 = -76\ \Rightarrow\ x = -6 \]
\[ 12x - 4 = -76 \]
\[ 12x - 4 + 4 = -76 + 4 \ \Rightarrow\ 12x = -72 \]
\[ \frac{12x}{12} = \frac{-72}{12} \ \Rightarrow\ x = -6 \]
\[ 12\cdot(-6) - 4 = -72 - 4 = -76 \checkmark \]

Trying values of x in 12x − 4 = −76

x	12x − 4	Equals -76?
-8	-100	no
-7	-88	no
-6	-76	yes
-5	-64	no
-4	-52	no

Questions

What is x in 12x − 4 = −76?

The solution of 12x − 4 = −76 is x = -6.

How do you solve 12x − 4 = −76?

Add 4 to both sides to get 12x = -72, then divide both sides by 12 to get x = -6.

How do I check the answer?

Replace x by -6: 12(-6) − 4 = -76, which is -76.

Solve 12x − 4 = −76

How to work it out

Trying values of x in 12x − 4 = −76

Questions

Similar equations