Solve 5x − 10 = 80

The solution of 5x − 10 = 80 is x = 18.

5x - 10 = 80\ \Rightarrow\ x = 18

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The lines y = 5x − 10 and y = 80 meet at x = 18. 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.
$5x - 10 = 80$
2
Add 10 to both sides:
$5x - 10 + 10 = 80 + 10 \ \Rightarrow\ 5x = 90$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$5\cdot18 - 10 = 90 - 10 = 80 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 10 = 80\ \Rightarrow\ x = 18 \]
\[ 5x - 10 = 80 \]
\[ 5x - 10 + 10 = 80 + 10 \ \Rightarrow\ 5x = 90 \]
\[ \frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18 \]
\[ 5\cdot18 - 10 = 90 - 10 = 80 \checkmark \]

Trying values of x in 5x − 10 = 80

x	5x − 10	Equals 80?
16	70	no
17	75	no
18	80	yes
19	85	no
20	90	no

Questions

What is x in 5x − 10 = 80?

The solution of 5x − 10 = 80 is x = 18.

How do you solve 5x − 10 = 80?

Add 10 to both sides to get 5x = 90, then divide both sides by 5 to get x = 18.

How do I check the answer?

Replace x by 18: 5(18) − 10 = 80, which is 80.

Solve 5x − 10 = 80

How to work it out

Trying values of x in 5x − 10 = 80

Questions

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