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 subtraction, then the multiplication.
$12x - 4 = 8$
2
Add 4 to 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.
$12\cdot1 - 4 = 12 - 4 = 8 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 4 = 8\ \Rightarrow\ x = 1 \]
\[ 12x - 4 = 8 \]
\[ 12x - 4 + 4 = 8 + 4 \ \Rightarrow\ 12x = 12 \]
\[ \frac{12x}{12} = \frac{12}{12} \ \Rightarrow\ x = 1 \]
\[ 12\cdot1 - 4 = 12 - 4 = 8 \checkmark \]

Trying values of x in 12x − 4 = 8

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

Add 4 to 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