10+(r-6)=r(2.50)

Solution for 10+(r-6)=r(2.50) equation:

Simplifying
10 + (r + -6) = r(2.50)

Reorder the terms:
10 + (-6 + r) = r(2.50)

Remove parenthesis around (-6 + r)
10 + -6 + r = r(2.50)

Combine like terms: 10 + -6 = 4
4 + r = r(2.50)

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

Solving
4 + 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.
4 + r + -2.50r = 2.50r + -2.50r

Combine like terms: r + -2.50r = -1.5r
4 + -1.5r = 2.50r + -2.50r

Combine like terms: 2.50r + -2.50r = 0.00
4 + -1.5r = 0.00

Add '-4' to each side of the equation.
4 + -4 + -1.5r = 0.00 + -4

Combine like terms: 4 + -4 = 0
0 + -1.5r = 0.00 + -4
-1.5r = 0.00 + -4

Combine like terms: 0.00 + -4 = -4
-1.5r = -4

Divide each side by '-1.5'.
r = 2.666666667

Simplifying
r = 2.666666667