To solve for x in the equation 4(x - 5) + x = 10, we need to simplify the equation by applying the distributive property and combining like terms.
First, let's distribute the 4 to the expression (x - 5):
4(x - 5) + x = 10
4x - 20 + x = 10
Next, let's combine like terms:
4x + x - 20 = 10
5x - 20 = 10
To isolate the term with x, we will move the constant term (-20) to the other side of the equation by adding 20 to both sides:
5x - 20 + 20 = 10 + 20
5x = 30
Finally, to solve for x, we divide both sides of the equation by the coefficient of x (which is 5):
(5x) / 5 = 30 / 5
x = 6
Therefore, the solution for x in the equation 4(x - 5) + x = 10 is x = 6.