10+3(r-5)=r(2.50)

Solution for 10+3(r-5)=r(2.50) equation:

Simplifying
10 + 3(r + -5) = r(2.50)

Reorder the terms:
10 + 3(-5 + r) = r(2.50)
10 + (-5 * 3 + r * 3) = r(2.50)
10 + (-15 + 3r) = r(2.50)

Combine like terms: 10 + -15 = -5
-5 + 3r = r(2.50)

Reorder the terms for easier multiplication:
-5 + 3r = 2.50r

Solving
-5 + 3r = 2.50r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-2.50r' to each side of the equation.
-5 + 3r + -2.50r = 2.50r + -2.50r

Combine like terms: 3r + -2.50r = 0.5r
-5 + 0.5r = 2.50r + -2.50r

Combine like terms: 2.50r + -2.50r = 0.00
-5 + 0.5r = 0.00

Add '5' to each side of the equation.
-5 + 5 + 0.5r = 0.00 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5r = 0.00 + 5
0.5r = 0.00 + 5

Combine like terms: 0.00 + 5 = 5
0.5r = 5

Divide each side by '0.5'.
r = 10

Simplifying
r = 10