Solve 10x − 5 = 25

The solution of 10x − 5 = 25 is x = 3.

10x - 5 = 25\ \Rightarrow\ x = 3

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The lines y = 10x − 5 and y = 25 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.
$10x - 5 = 25$
2
Add 5 to both sides:
$10x - 5 + 5 = 25 + 5 \ \Rightarrow\ 10x = 30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$10\cdot3 - 5 = 30 - 5 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 5 = 25\ \Rightarrow\ x = 3 \]
\[ 10x - 5 = 25 \]
\[ 10x - 5 + 5 = 25 + 5 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 - 5 = 30 - 5 = 25 \checkmark \]

Trying values of x in 10x − 5 = 25

x	10x − 5	Equals 25?
1	5	no
2	15	no
3	25	yes
4	35	no
5	45	no

Questions

What is x in 10x − 5 = 25?

The solution of 10x − 5 = 25 is x = 3.

How do you solve 10x − 5 = 25?

Add 5 to both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) − 5 = 25, which is 25.

Solve 10x − 5 = 25

How to work it out

Trying values of x in 10x − 5 = 25

Questions

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