(2x-1)*(3x+7)-(1+6x)*(x+2)=4

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Solution for (2x-1)*(3x+7)-(1+6x)*(x+2)=4 equation: 


Simplifying
(2x + -1)(3x + 7) + -1(1 + 6x)(x + 2) = 4

Reorder the terms:
(-1 + 2x)(3x + 7) + -1(1 + 6x)(x + 2) = 4

Reorder the terms:
(-1 + 2x)(7 + 3x) + -1(1 + 6x)(x + 2) = 4

Multiply (-1 + 2x) * (7 + 3x)
(-1(7 + 3x) + 2x * (7 + 3x)) + -1(1 + 6x)(x + 2) = 4
((7 * -1 + 3x * -1) + 2x * (7 + 3x)) + -1(1 + 6x)(x + 2) = 4
((-7 + -3x) + 2x * (7 + 3x)) + -1(1 + 6x)(x + 2) = 4
(-7 + -3x + (7 * 2x + 3x * 2x)) + -1(1 + 6x)(x + 2) = 4
(-7 + -3x + (14x + 6x2)) + -1(1 + 6x)(x + 2) = 4

Combine like terms: -3x + 14x = 11x
(-7 + 11x + 6x2) + -1(1 + 6x)(x + 2) = 4

Reorder the terms:
-7 + 11x + 6x2 + -1(1 + 6x)(2 + x) = 4

Multiply (1 + 6x) * (2 + x)
-7 + 11x + 6x2 + -1(1(2 + x) + 6x * (2 + x)) = 4
-7 + 11x + 6x2 + -1((2 * 1 + x * 1) + 6x * (2 + x)) = 4
-7 + 11x + 6x2 + -1((2 + 1x) + 6x * (2 + x)) = 4
-7 + 11x + 6x2 + -1(2 + 1x + (2 * 6x + x * 6x)) = 4
-7 + 11x + 6x2 + -1(2 + 1x + (12x + 6x2)) = 4

Combine like terms: 1x + 12x = 13x
-7 + 11x + 6x2 + -1(2 + 13x + 6x2) = 4
-7 + 11x + 6x2 + (2 * -1 + 13x * -1 + 6x2 * -1) = 4
-7 + 11x + 6x2 + (-2 + -13x + -6x2) = 4

Reorder the terms:
-7 + -2 + 11x + -13x + 6x2 + -6x2 = 4

Combine like terms: -7 + -2 = -9
-9 + 11x + -13x + 6x2 + -6x2 = 4

Combine like terms: 11x + -13x = -2x
-9 + -2x + 6x2 + -6x2 = 4

Combine like terms: 6x2 + -6x2 = 0
-9 + -2x + 0 = 4
-9 + -2x = 4

Solving
-9 + -2x = 4

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 4 + 9
-2x = 4 + 9

Combine like terms: 4 + 9 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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