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

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

Simplifying
2(r + 5) + -4(r + -1) = 0

Reorder the terms:
2(5 + r) + -4(r + -1) = 0
(5 * 2 + r * 2) + -4(r + -1) = 0
(10 + 2r) + -4(r + -1) = 0

Reorder the terms:
10 + 2r + -4(-1 + r) = 0
10 + 2r + (-1 * -4 + r * -4) = 0
10 + 2r + (4 + -4r) = 0

Reorder the terms:
10 + 4 + 2r + -4r = 0

Combine like terms: 10 + 4 = 14
14 + 2r + -4r = 0

Combine like terms: 2r + -4r = -2r
14 + -2r = 0

Solving
14 + -2r = 0

Solving for variable 'r'.

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

Add '-14' to each side of the equation.
14 + -14 + -2r = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2r = 0 + -14
-2r = 0 + -14

Combine like terms: 0 + -14 = -14
-2r = -14

Divide each side by '-2'.
r = 7

Simplifying
r = 7