(3x+1)(1-3x)+(2x-3)(2x+3)=5x(1-x)-23

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Solution for (3x+1)(1-3x)+(2x-3)(2x+3)=5x(1-x)-23 equation:


Simplifying
(3x + 1)(1 + -3x) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23

Reorder the terms:
(1 + 3x)(1 + -3x) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23

Multiply (1 + 3x) * (1 + -3x)
(1(1 + -3x) + 3x * (1 + -3x)) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23
((1 * 1 + -3x * 1) + 3x * (1 + -3x)) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23
((1 + -3x) + 3x * (1 + -3x)) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23
(1 + -3x + (1 * 3x + -3x * 3x)) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23
(1 + -3x + (3x + -9x2)) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23

Combine like terms: -3x + 3x = 0
(1 + 0 + -9x2) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23
(1 + -9x2) + (2x + -3)(2x + 3) = 5x(1 + -1x) + -23

Reorder the terms:
1 + -9x2 + (-3 + 2x)(2x + 3) = 5x(1 + -1x) + -23

Reorder the terms:
1 + -9x2 + (-3 + 2x)(3 + 2x) = 5x(1 + -1x) + -23

Multiply (-3 + 2x) * (3 + 2x)
1 + -9x2 + (-3(3 + 2x) + 2x * (3 + 2x)) = 5x(1 + -1x) + -23
1 + -9x2 + ((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = 5x(1 + -1x) + -23
1 + -9x2 + ((-9 + -6x) + 2x * (3 + 2x)) = 5x(1 + -1x) + -23
1 + -9x2 + (-9 + -6x + (3 * 2x + 2x * 2x)) = 5x(1 + -1x) + -23
1 + -9x2 + (-9 + -6x + (6x + 4x2)) = 5x(1 + -1x) + -23

Combine like terms: -6x + 6x = 0
1 + -9x2 + (-9 + 0 + 4x2) = 5x(1 + -1x) + -23
1 + -9x2 + (-9 + 4x2) = 5x(1 + -1x) + -23

Reorder the terms:
1 + -9 + -9x2 + 4x2 = 5x(1 + -1x) + -23

Combine like terms: 1 + -9 = -8
-8 + -9x2 + 4x2 = 5x(1 + -1x) + -23

Combine like terms: -9x2 + 4x2 = -5x2
-8 + -5x2 = 5x(1 + -1x) + -23
-8 + -5x2 = (1 * 5x + -1x * 5x) + -23
-8 + -5x2 = (5x + -5x2) + -23

Reorder the terms:
-8 + -5x2 = -23 + 5x + -5x2

Add '5x2' to each side of the equation.
-8 + -5x2 + 5x2 = -23 + 5x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-8 + 0 = -23 + 5x + -5x2 + 5x2
-8 = -23 + 5x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-8 = -23 + 5x + 0
-8 = -23 + 5x

Solving
-8 = -23 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + -5x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -5x = -23 + 0
-8 + -5x = -23

Add '8' to each side of the equation.
-8 + 8 + -5x = -23 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = -23 + 8
-5x = -23 + 8

Combine like terms: -23 + 8 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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