What is the solution to the equation 5x - 10 = 15?

To solve the equation ( 5x - 10 = 15 ), begin by isolating the term with the variable ( x ). This can be done by first adding 10 to both sides of the equation:

[

5x - 10 + 10 = 15 + 10

]

This simplifies to:

[

5x = 25

]

Next, divide both sides of the equation by 5 to solve for ( x ):

[

x = \frac{25}{5}

]

Calculating that gives:

[

x = 5

]

Thus, the solution to the equation is ( x = 5 ). This value satisfies the original equation as substituting back yields:

[

5(5) - 10 = 25 - 10 = 15

]

which confirms that the left-hand side equals the right-hand side of the original equation.