Solve 6x − 10 = 68

The solution of 6x − 10 = 68 is x = 13.

6x - 10 = 68\ \Rightarrow\ x = 13

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The lines y = 6x − 10 and y = 68 meet at x = 13. 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.
$6x - 10 = 68$
2
Add 10 to both sides:
$6x - 10 + 10 = 68 + 10 \ \Rightarrow\ 6x = 78$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$6\cdot13 - 10 = 78 - 10 = 68 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 10 = 68\ \Rightarrow\ x = 13 \]
\[ 6x - 10 = 68 \]
\[ 6x - 10 + 10 = 68 + 10 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 - 10 = 78 - 10 = 68 \checkmark \]

Trying values of x in 6x − 10 = 68

x	6x − 10	Equals 68?
11	56	no
12	62	no
13	68	yes
14	74	no
15	80	no

Questions

What is x in 6x − 10 = 68?

The solution of 6x − 10 = 68 is x = 13.

How do you solve 6x − 10 = 68?

Add 10 to both sides to get 6x = 78, then divide both sides by 6 to get x = 13.

How do I check the answer?

Replace x by 13: 6(13) − 10 = 68, which is 68.

Solve 6x − 10 = 68

How to work it out

Trying values of x in 6x − 10 = 68

Questions

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