Solve 5x − 10 = 5

The solution of 5x − 10 = 5 is x = 3.

5x - 10 = 5\ \Rightarrow\ x = 3

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The lines y = 5x − 10 and y = 5 meet at x = 3. 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.
$5x - 10 = 5$
2
Add 10 to both sides:
$5x - 10 + 10 = 5 + 10 \ \Rightarrow\ 5x = 15$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$5\cdot3 - 10 = 15 - 10 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 10 = 5\ \Rightarrow\ x = 3 \]
\[ 5x - 10 = 5 \]
\[ 5x - 10 + 10 = 5 + 10 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 - 10 = 15 - 10 = 5 \checkmark \]

Trying values of x in 5x − 10 = 5

x	5x − 10	Equals 5?
1	-5	no
2	0	no
3	5	yes
4	10	no
5	15	no

Questions

What is x in 5x − 10 = 5?

The solution of 5x − 10 = 5 is x = 3.

How do you solve 5x − 10 = 5?

Add 10 to both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) − 10 = 5, which is 5.

Solve 5x − 10 = 5

How to work it out

Trying values of x in 5x − 10 = 5

Questions

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