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

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

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

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

Remove parenthesis around (-5 + r)
10 + -5 + r = r(2.50)

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

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

Solving
5 + r = 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 + r + -2.50r = 2.50r + -2.50r

Combine like terms: r + -2.50r = -1.5r
5 + -1.5r = 2.50r + -2.50r

Combine like terms: 2.50r + -2.50r = 0.00
5 + -1.5r = 0.00

Add '-5' to each side of the equation.
5 + -5 + -1.5r = 0.00 + -5

Combine like terms: 5 + -5 = 0
0 + -1.5r = 0.00 + -5
-1.5r = 0.00 + -5

Combine like terms: 0.00 + -5 = -5
-1.5r = -5

Divide each side by '-1.5'.
r = 3.333333333

Simplifying
r = 3.333333333