Solve 5x − 5 = 50

The solution of 5x − 5 = 50 is x = 11.

5x - 5 = 50\ \Rightarrow\ x = 11

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The lines y = 5x − 5 and y = 50 meet at x = 11. 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.
$5x - 5 = 50$
2
Add 5 to both sides:
$5x - 5 + 5 = 50 + 5 \ \Rightarrow\ 5x = 55$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$5\cdot11 - 5 = 55 - 5 = 50 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 5 = 50\ \Rightarrow\ x = 11 \]
\[ 5x - 5 = 50 \]
\[ 5x - 5 + 5 = 50 + 5 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 - 5 = 55 - 5 = 50 \checkmark \]

Trying values of x in 5x − 5 = 50

x	5x − 5	Equals 50?
9	40	no
10	45	no
11	50	yes
12	55	no
13	60	no

Questions

What is x in 5x − 5 = 50?

The solution of 5x − 5 = 50 is x = 11.

How do you solve 5x − 5 = 50?

Add 5 to both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) − 5 = 50, which is 50.

Solve 5x − 5 = 50

How to work it out

Trying values of x in 5x − 5 = 50

Questions

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