6(r-5)-5(r-1)=2(r+4)

Solution for 6(r-5)-5(r-1)=2(r+4) equation:

Simplifying
6(r + -5) + -5(r + -1) = 2(r + 4)

Reorder the terms:
6(-5 + r) + -5(r + -1) = 2(r + 4)
(-5 * 6 + r * 6) + -5(r + -1) = 2(r + 4)
(-30 + 6r) + -5(r + -1) = 2(r + 4)

Reorder the terms:
-30 + 6r + -5(-1 + r) = 2(r + 4)
-30 + 6r + (-1 * -5 + r * -5) = 2(r + 4)
-30 + 6r + (5 + -5r) = 2(r + 4)

Reorder the terms:
-30 + 5 + 6r + -5r = 2(r + 4)

Combine like terms: -30 + 5 = -25
-25 + 6r + -5r = 2(r + 4)

Combine like terms: 6r + -5r = 1r
-25 + 1r = 2(r + 4)

Reorder the terms:
-25 + 1r = 2(4 + r)
-25 + 1r = (4 * 2 + r * 2)
-25 + 1r = (8 + 2r)

Solving
-25 + 1r = 8 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-25 + 1r + -2r = 8 + 2r + -2r

Combine like terms: 1r + -2r = -1r
-25 + -1r = 8 + 2r + -2r

Combine like terms: 2r + -2r = 0
-25 + -1r = 8 + 0
-25 + -1r = 8

Add '25' to each side of the equation.
-25 + 25 + -1r = 8 + 25

Combine like terms: -25 + 25 = 0
0 + -1r = 8 + 25
-1r = 8 + 25

Combine like terms: 8 + 25 = 33
-1r = 33

Divide each side by '-1'.
r = -33

Simplifying
r = -33