Solve 6x − 10 = 80

The solution of 6x − 10 = 80 is x = 15.

6x - 10 = 80\ \Rightarrow\ x = 15

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The lines y = 6x − 10 and y = 80 meet at x = 15. 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.
$6x - 10 = 80$
2
Add 10 to both sides:
$6x - 10 + 10 = 80 + 10 \ \Rightarrow\ 6x = 90$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$6\cdot15 - 10 = 90 - 10 = 80 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 10 = 80\ \Rightarrow\ x = 15 \]
\[ 6x - 10 = 80 \]
\[ 6x - 10 + 10 = 80 + 10 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 - 10 = 90 - 10 = 80 \checkmark \]

Trying values of x in 6x − 10 = 80

x	6x − 10	Equals 80?
13	68	no
14	74	no
15	80	yes
16	86	no
17	92	no

Questions

What is x in 6x − 10 = 80?

The solution of 6x − 10 = 80 is x = 15.

How do you solve 6x − 10 = 80?

Add 10 to both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) − 10 = 80, which is 80.

Solve 6x − 10 = 80

How to work it out

Trying values of x in 6x − 10 = 80

Questions

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