Solve 6x − 8 = 46

The solution of 6x − 8 = 46 is x = 9.

6x - 8 = 46\ \Rightarrow\ x = 9

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The lines y = 6x − 8 and y = 46 meet at x = 9. 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.
$6x - 8 = 46$
2
Add 8 to both sides:
$6x - 8 + 8 = 46 + 8 \ \Rightarrow\ 6x = 54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$6\cdot9 - 8 = 54 - 8 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 8 = 46\ \Rightarrow\ x = 9 \]
\[ 6x - 8 = 46 \]
\[ 6x - 8 + 8 = 46 + 8 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 - 8 = 54 - 8 = 46 \checkmark \]

Trying values of x in 6x − 8 = 46

x	6x − 8	Equals 46?
7	34	no
8	40	no
9	46	yes
10	52	no
11	58	no

Questions

What is x in 6x − 8 = 46?

The solution of 6x − 8 = 46 is x = 9.

How do you solve 6x − 8 = 46?

Add 8 to both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) − 8 = 46, which is 46.

Solve 6x − 8 = 46

How to work it out

Trying values of x in 6x − 8 = 46

Questions

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