6-(-5r)=10r-6

Solution for 6-(-5r)=10r-6 equation:

Simplifying
6 + -1(-5r) = 10r + -6

Remove parenthesis around (-5r)
6 + -1 * -5r = 10r + -6

Multiply -1 * -5
6 + 5r = 10r + -6

Reorder the terms:
6 + 5r = -6 + 10r

Solving
6 + 5r = -6 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
6 + 5r + -10r = -6 + 10r + -10r

Combine like terms: 5r + -10r = -5r
6 + -5r = -6 + 10r + -10r

Combine like terms: 10r + -10r = 0
6 + -5r = -6 + 0
6 + -5r = -6

Add '-6' to each side of the equation.
6 + -6 + -5r = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -5r = -6 + -6
-5r = -6 + -6

Combine like terms: -6 + -6 = -12
-5r = -12

Divide each side by '-5'.
r = 2.4

Simplifying
r = 2.4