5(r+1)-[2(3-2r)-3(3-r)]=2(r+5)-4

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Solution for 5(r+1)-[2(3-2r)-3(3-r)]=2(r+5)-4 equation: 


Simplifying
5(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)] = 2(r + 5) + -4

Reorder the terms:
5(1 + r) + -1[2(3 + -2r) + -3(3 + -1r)] = 2(r + 5) + -4
(1 * 5 + r * 5) + -1[2(3 + -2r) + -3(3 + -1r)] = 2(r + 5) + -4
(5 + 5r) + -1[2(3 + -2r) + -3(3 + -1r)] = 2(r + 5) + -4
5 + 5r + -1[(3 * 2 + -2r * 2) + -3(3 + -1r)] = 2(r + 5) + -4
5 + 5r + -1[(6 + -4r) + -3(3 + -1r)] = 2(r + 5) + -4
5 + 5r + -1[6 + -4r + (3 * -3 + -1r * -3)] = 2(r + 5) + -4
5 + 5r + -1[6 + -4r + (-9 + 3r)] = 2(r + 5) + -4

Reorder the terms:
5 + 5r + -1[6 + -9 + -4r + 3r] = 2(r + 5) + -4

Combine like terms: 6 + -9 = -3
5 + 5r + -1[-3 + -4r + 3r] = 2(r + 5) + -4

Combine like terms: -4r + 3r = -1r
5 + 5r + -1[-3 + -1r] = 2(r + 5) + -4
5 + 5r + [-3 * -1 + -1r * -1] = 2(r + 5) + -4
5 + 5r + [3 + 1r] = 2(r + 5) + -4

Reorder the terms:
5 + 3 + 5r + 1r = 2(r + 5) + -4

Combine like terms: 5 + 3 = 8
8 + 5r + 1r = 2(r + 5) + -4

Combine like terms: 5r + 1r = 6r
8 + 6r = 2(r + 5) + -4

Reorder the terms:
8 + 6r = 2(5 + r) + -4
8 + 6r = (5 * 2 + r * 2) + -4
8 + 6r = (10 + 2r) + -4

Reorder the terms:
8 + 6r = 10 + -4 + 2r

Combine like terms: 10 + -4 = 6
8 + 6r = 6 + 2r

Solving
8 + 6r = 6 + 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.
8 + 6r + -2r = 6 + 2r + -2r

Combine like terms: 6r + -2r = 4r
8 + 4r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
8 + 4r = 6 + 0
8 + 4r = 6

Add '-8' to each side of the equation.
8 + -8 + 4r = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 4r = 6 + -8
4r = 6 + -8

Combine like terms: 6 + -8 = -2
4r = -2

Divide each side by '4'.
r = -0.5

Simplifying
r = -0.5

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