3(R+1)-[2(8-2R)-3(3-R)]=2(R+5)-4

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Solution for 3(R+1)-[2(8-2R)-3(3-R)]=2(R+5)-4 equation: 


Simplifying
3(R + 1) + -1[2(8 + -2R) + -3(3 + -1R)] = 2(R + 5) + -4

Reorder the terms:
3(1 + R) + -1[2(8 + -2R) + -3(3 + -1R)] = 2(R + 5) + -4
(1 * 3 + R * 3) + -1[2(8 + -2R) + -3(3 + -1R)] = 2(R + 5) + -4
(3 + 3R) + -1[2(8 + -2R) + -3(3 + -1R)] = 2(R + 5) + -4
3 + 3R + -1[(8 * 2 + -2R * 2) + -3(3 + -1R)] = 2(R + 5) + -4
3 + 3R + -1[(16 + -4R) + -3(3 + -1R)] = 2(R + 5) + -4
3 + 3R + -1[16 + -4R + (3 * -3 + -1R * -3)] = 2(R + 5) + -4
3 + 3R + -1[16 + -4R + (-9 + 3R)] = 2(R + 5) + -4

Reorder the terms:
3 + 3R + -1[16 + -9 + -4R + 3R] = 2(R + 5) + -4

Combine like terms: 16 + -9 = 7
3 + 3R + -1[7 + -4R + 3R] = 2(R + 5) + -4

Combine like terms: -4R + 3R = -1R
3 + 3R + -1[7 + -1R] = 2(R + 5) + -4
3 + 3R + [7 * -1 + -1R * -1] = 2(R + 5) + -4
3 + 3R + [-7 + 1R] = 2(R + 5) + -4

Reorder the terms:
3 + -7 + 3R + 1R = 2(R + 5) + -4

Combine like terms: 3 + -7 = -4
-4 + 3R + 1R = 2(R + 5) + -4

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

Reorder the terms:
-4 + 4R = 2(5 + R) + -4
-4 + 4R = (5 * 2 + R * 2) + -4
-4 + 4R = (10 + 2R) + -4

Reorder the terms:
-4 + 4R = 10 + -4 + 2R

Combine like terms: 10 + -4 = 6
-4 + 4R = 6 + 2R

Solving
-4 + 4R = 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.
-4 + 4R + -2R = 6 + 2R + -2R

Combine like terms: 4R + -2R = 2R
-4 + 2R = 6 + 2R + -2R

Combine like terms: 2R + -2R = 0
-4 + 2R = 6 + 0
-4 + 2R = 6

Add '4' to each side of the equation.
-4 + 4 + 2R = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2R = 6 + 4
2R = 6 + 4

Combine like terms: 6 + 4 = 10
2R = 10

Divide each side by '2'.
R = 5

Simplifying
R = 5

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