Solve 6x − 6 = 42

The solution of 6x − 6 = 42 is x = 8.

6x - 6 = 42\ \Rightarrow\ x = 8

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The lines y = 6x − 6 and y = 42 meet at x = 8. 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.
$6x - 6 = 42$
2
Add 6 to both sides:
$6x - 6 + 6 = 42 + 6 \ \Rightarrow\ 6x = 48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$6\cdot8 - 6 = 48 - 6 = 42 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 6 = 42\ \Rightarrow\ x = 8 \]
\[ 6x - 6 = 42 \]
\[ 6x - 6 + 6 = 42 + 6 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 - 6 = 48 - 6 = 42 \checkmark \]

Trying values of x in 6x − 6 = 42

x	6x − 6	Equals 42?
6	30	no
7	36	no
8	42	yes
9	48	no
10	54	no

Questions

What is x in 6x − 6 = 42?

The solution of 6x − 6 = 42 is x = 8.

How do you solve 6x − 6 = 42?

Add 6 to both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) − 6 = 42, which is 42.

Solve 6x − 6 = 42

How to work it out

Trying values of x in 6x − 6 = 42

Questions

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