Solve 12x − 4 = 164

The solution of 12x − 4 = 164 is x = 14.

12x - 4 = 164\ \Rightarrow\ x = 14

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The lines y = 12x − 4 and y = 164 meet at x = 14. 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.
$12x - 4 = 164$
2
Add 4 to both sides:
$12x - 4 + 4 = 164 + 4 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 - 4 = 168 - 4 = 164 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 4 = 164\ \Rightarrow\ x = 14 \]
\[ 12x - 4 = 164 \]
\[ 12x - 4 + 4 = 164 + 4 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 - 4 = 168 - 4 = 164 \checkmark \]

Trying values of x in 12x − 4 = 164

x	12x − 4	Equals 164?
12	140	no
13	152	no
14	164	yes
15	176	no
16	188	no

Questions

What is x in 12x − 4 = 164?

The solution of 12x − 4 = 164 is x = 14.

How do you solve 12x − 4 = 164?

Add 4 to both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) − 4 = 164, which is 164.

Solve 12x − 4 = 164

How to work it out

Trying values of x in 12x − 4 = 164

Questions

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