Solve 6x − 8 = 106

The solution of 6x − 8 = 106 is x = 19.

6x - 8 = 106\ \Rightarrow\ x = 19

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The lines y = 6x − 8 and y = 106 meet at x = 19. 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.
$6x - 8 = 106$
2
Add 8 to both sides:
$6x - 8 + 8 = 106 + 8 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 8 = 114 - 8 = 106 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 8 = 106\ \Rightarrow\ x = 19 \]
\[ 6x - 8 = 106 \]
\[ 6x - 8 + 8 = 106 + 8 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 8 = 114 - 8 = 106 \checkmark \]

Trying values of x in 6x − 8 = 106

x	6x − 8	Equals 106?
17	94	no
18	100	no
19	106	yes
20	112	no
21	118	no

Questions

What is x in 6x − 8 = 106?

The solution of 6x − 8 = 106 is x = 19.

How do you solve 6x − 8 = 106?

Add 8 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) − 8 = 106, which is 106.

Solve 6x − 8 = 106

How to work it out

Trying values of x in 6x − 8 = 106

Questions

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