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

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


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

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

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

Multiply (-3 + 2x) * (3 + 2x)
(-3(3 + 2x) + 2x * (3 + 2x)) + -4x(x + 1) = 2(x + 3) + 3
((3 * -3 + 2x * -3) + 2x * (3 + 2x)) + -4x(x + 1) = 2(x + 3) + 3
((-9 + -6x) + 2x * (3 + 2x)) + -4x(x + 1) = 2(x + 3) + 3
(-9 + -6x + (3 * 2x + 2x * 2x)) + -4x(x + 1) = 2(x + 3) + 3
(-9 + -6x + (6x + 4x2)) + -4x(x + 1) = 2(x + 3) + 3

Combine like terms: -6x + 6x = 0
(-9 + 0 + 4x2) + -4x(x + 1) = 2(x + 3) + 3
(-9 + 4x2) + -4x(x + 1) = 2(x + 3) + 3

Reorder the terms:
-9 + 4x2 + -4x(1 + x) = 2(x + 3) + 3
-9 + 4x2 + (1 * -4x + x * -4x) = 2(x + 3) + 3
-9 + 4x2 + (-4x + -4x2) = 2(x + 3) + 3

Reorder the terms:
-9 + -4x + 4x2 + -4x2 = 2(x + 3) + 3

Combine like terms: 4x2 + -4x2 = 0
-9 + -4x + 0 = 2(x + 3) + 3
-9 + -4x = 2(x + 3) + 3

Reorder the terms:
-9 + -4x = 2(3 + x) + 3
-9 + -4x = (3 * 2 + x * 2) + 3
-9 + -4x = (6 + 2x) + 3

Reorder the terms:
-9 + -4x = 6 + 3 + 2x

Combine like terms: 6 + 3 = 9
-9 + -4x = 9 + 2x

Solving
-9 + -4x = 9 + 2x

Solving for variable 'x'.

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

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

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

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

Add '9' to each side of the equation.
-9 + 9 + -6x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = 9 + 9
-6x = 9 + 9

Combine like terms: 9 + 9 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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