Solve 6x − 6 = 24

The solution of 6x − 6 = 24 is x = 5.

6x - 6 = 24\ \Rightarrow\ x = 5

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The lines y = 6x − 6 and y = 24 meet at x = 5. 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.
$6x - 6 = 24$
2
Add 6 to both sides:
$6x - 6 + 6 = 24 + 6 \ \Rightarrow\ 6x = 30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$6\cdot5 - 6 = 30 - 6 = 24 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 6 = 24\ \Rightarrow\ x = 5 \]
\[ 6x - 6 = 24 \]
\[ 6x - 6 + 6 = 24 + 6 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 - 6 = 30 - 6 = 24 \checkmark \]

Trying values of x in 6x − 6 = 24

x	6x − 6	Equals 24?
3	12	no
4	18	no
5	24	yes
6	30	no
7	36	no

Questions

What is x in 6x − 6 = 24?

The solution of 6x − 6 = 24 is x = 5.

How do you solve 6x − 6 = 24?

Add 6 to both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) − 6 = 24, which is 24.

Solve 6x − 6 = 24

How to work it out

Trying values of x in 6x − 6 = 24

Questions

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