(x-5)(x+5)-(x+3)(x+5)=4(3x-8)

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Solution for (x-5)(x+5)-(x+3)(x+5)=4(3x-8) equation:


Simplifying
(x + -5)(x + 5) + -1(x + 3)(x + 5) = 4(3x + -8)

Reorder the terms:
(-5 + x)(x + 5) + -1(x + 3)(x + 5) = 4(3x + -8)

Reorder the terms:
(-5 + x)(5 + x) + -1(x + 3)(x + 5) = 4(3x + -8)

Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x)) + -1(x + 3)(x + 5) = 4(3x + -8)
((5 * -5 + x * -5) + x(5 + x)) + -1(x + 3)(x + 5) = 4(3x + -8)
((-25 + -5x) + x(5 + x)) + -1(x + 3)(x + 5) = 4(3x + -8)
(-25 + -5x + (5 * x + x * x)) + -1(x + 3)(x + 5) = 4(3x + -8)
(-25 + -5x + (5x + x2)) + -1(x + 3)(x + 5) = 4(3x + -8)

Combine like terms: -5x + 5x = 0
(-25 + 0 + x2) + -1(x + 3)(x + 5) = 4(3x + -8)
(-25 + x2) + -1(x + 3)(x + 5) = 4(3x + -8)

Reorder the terms:
-25 + x2 + -1(3 + x)(x + 5) = 4(3x + -8)

Reorder the terms:
-25 + x2 + -1(3 + x)(5 + x) = 4(3x + -8)

Multiply (3 + x) * (5 + x)
-25 + x2 + -1(3(5 + x) + x(5 + x)) = 4(3x + -8)
-25 + x2 + -1((5 * 3 + x * 3) + x(5 + x)) = 4(3x + -8)
-25 + x2 + -1((15 + 3x) + x(5 + x)) = 4(3x + -8)
-25 + x2 + -1(15 + 3x + (5 * x + x * x)) = 4(3x + -8)
-25 + x2 + -1(15 + 3x + (5x + x2)) = 4(3x + -8)

Combine like terms: 3x + 5x = 8x
-25 + x2 + -1(15 + 8x + x2) = 4(3x + -8)
-25 + x2 + (15 * -1 + 8x * -1 + x2 * -1) = 4(3x + -8)
-25 + x2 + (-15 + -8x + -1x2) = 4(3x + -8)

Reorder the terms:
-25 + -15 + -8x + x2 + -1x2 = 4(3x + -8)

Combine like terms: -25 + -15 = -40
-40 + -8x + x2 + -1x2 = 4(3x + -8)

Combine like terms: x2 + -1x2 = 0
-40 + -8x + 0 = 4(3x + -8)
-40 + -8x = 4(3x + -8)

Reorder the terms:
-40 + -8x = 4(-8 + 3x)
-40 + -8x = (-8 * 4 + 3x * 4)
-40 + -8x = (-32 + 12x)

Solving
-40 + -8x = -32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-40 + -8x + -12x = -32 + 12x + -12x

Combine like terms: -8x + -12x = -20x
-40 + -20x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
-40 + -20x = -32 + 0
-40 + -20x = -32

Add '40' to each side of the equation.
-40 + 40 + -20x = -32 + 40

Combine like terms: -40 + 40 = 0
0 + -20x = -32 + 40
-20x = -32 + 40

Combine like terms: -32 + 40 = 8
-20x = 8

Divide each side by '-20'.
x = -0.4

Simplifying
x = -0.4

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