(2x+1)(x+6)=2x(x+4)+81

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Solution for (2x+1)(x+6)=2x(x+4)+81 equation: 


Simplifying
(2x + 1)(x + 6) = 2x(x + 4) + 81

Reorder the terms:
(1 + 2x)(x + 6) = 2x(x + 4) + 81

Reorder the terms:
(1 + 2x)(6 + x) = 2x(x + 4) + 81

Multiply (1 + 2x) * (6 + x)
(1(6 + x) + 2x * (6 + x)) = 2x(x + 4) + 81
((6 * 1 + x * 1) + 2x * (6 + x)) = 2x(x + 4) + 81
((6 + 1x) + 2x * (6 + x)) = 2x(x + 4) + 81
(6 + 1x + (6 * 2x + x * 2x)) = 2x(x + 4) + 81
(6 + 1x + (12x + 2x2)) = 2x(x + 4) + 81

Combine like terms: 1x + 12x = 13x
(6 + 13x + 2x2) = 2x(x + 4) + 81

Reorder the terms:
6 + 13x + 2x2 = 2x(4 + x) + 81
6 + 13x + 2x2 = (4 * 2x + x * 2x) + 81
6 + 13x + 2x2 = (8x + 2x2) + 81

Reorder the terms:
6 + 13x + 2x2 = 81 + 8x + 2x2

Add '-2x2' to each side of the equation.
6 + 13x + 2x2 + -2x2 = 81 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + 13x + 0 = 81 + 8x + 2x2 + -2x2
6 + 13x = 81 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + 13x = 81 + 8x + 0
6 + 13x = 81 + 8x

Solving
6 + 13x = 81 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 13x + -8x = 81 + 8x + -8x

Combine like terms: 13x + -8x = 5x
6 + 5x = 81 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 5x = 81 + 0
6 + 5x = 81

Add '-6' to each side of the equation.
6 + -6 + 5x = 81 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 81 + -6
5x = 81 + -6

Combine like terms: 81 + -6 = 75
5x = 75

Divide each side by '5'.
x = 15

Simplifying
x = 15

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