(3x+1)(x+2)-(3x-4)(x+2)=36

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Solution for (3x+1)(x+2)-(3x-4)(x+2)=36 equation:


Simplifying
(3x + 1)(x + 2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
(1 + 3x)(x + 2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
(1 + 3x)(2 + x) + -1(3x + -4)(x + 2) = 36

Multiply (1 + 3x) * (2 + x)
(1(2 + x) + 3x * (2 + x)) + -1(3x + -4)(x + 2) = 36
((2 * 1 + x * 1) + 3x * (2 + x)) + -1(3x + -4)(x + 2) = 36
((2 + 1x) + 3x * (2 + x)) + -1(3x + -4)(x + 2) = 36
(2 + 1x + (2 * 3x + x * 3x)) + -1(3x + -4)(x + 2) = 36
(2 + 1x + (6x + 3x2)) + -1(3x + -4)(x + 2) = 36

Combine like terms: 1x + 6x = 7x
(2 + 7x + 3x2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
2 + 7x + 3x2 + -1(-4 + 3x)(x + 2) = 36

Reorder the terms:
2 + 7x + 3x2 + -1(-4 + 3x)(2 + x) = 36

Multiply (-4 + 3x) * (2 + x)
2 + 7x + 3x2 + -1(-4(2 + x) + 3x * (2 + x)) = 36
2 + 7x + 3x2 + -1((2 * -4 + x * -4) + 3x * (2 + x)) = 36
2 + 7x + 3x2 + -1((-8 + -4x) + 3x * (2 + x)) = 36
2 + 7x + 3x2 + -1(-8 + -4x + (2 * 3x + x * 3x)) = 36
2 + 7x + 3x2 + -1(-8 + -4x + (6x + 3x2)) = 36

Combine like terms: -4x + 6x = 2x
2 + 7x + 3x2 + -1(-8 + 2x + 3x2) = 36
2 + 7x + 3x2 + (-8 * -1 + 2x * -1 + 3x2 * -1) = 36
2 + 7x + 3x2 + (8 + -2x + -3x2) = 36

Reorder the terms:
2 + 8 + 7x + -2x + 3x2 + -3x2 = 36

Combine like terms: 2 + 8 = 10
10 + 7x + -2x + 3x2 + -3x2 = 36

Combine like terms: 7x + -2x = 5x
10 + 5x + 3x2 + -3x2 = 36

Combine like terms: 3x2 + -3x2 = 0
10 + 5x + 0 = 36
10 + 5x = 36

Solving
10 + 5x = 36

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 36 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 36 + -10
5x = 36 + -10

Combine like terms: 36 + -10 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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