Solve 12x − 6 = 42

The solution of 12x − 6 = 42 is x = 4.

12x - 6 = 42\ \Rightarrow\ x = 4

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The lines y = 12x − 6 and y = 42 meet at x = 4. 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.
$12x - 6 = 42$
2
Add 6 to both sides:
$12x - 6 + 6 = 42 + 6 \ \Rightarrow\ 12x = 48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$12\cdot4 - 6 = 48 - 6 = 42 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 6 = 42\ \Rightarrow\ x = 4 \]
\[ 12x - 6 = 42 \]
\[ 12x - 6 + 6 = 42 + 6 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 - 6 = 48 - 6 = 42 \checkmark \]

Trying values of x in 12x − 6 = 42

x	12x − 6	Equals 42?
2	18	no
3	30	no
4	42	yes
5	54	no
6	66	no

Questions

What is x in 12x − 6 = 42?

The solution of 12x − 6 = 42 is x = 4.

How do you solve 12x − 6 = 42?

Add 6 to both sides to get 12x = 48, then divide both sides by 12 to get x = 4.

How do I check the answer?

Replace x by 4: 12(4) − 6 = 42, which is 42.

Solve 12x − 6 = 42

How to work it out

Trying values of x in 12x − 6 = 42

Questions

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