(x-3)(x+5)-(x+4)(x+3)=4(2x-3)

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Solution for (x-3)(x+5)-(x+4)(x+3)=4(2x-3) equation:


Simplifying
(x + -3)(x + 5) + -1(x + 4)(x + 3) = 4(2x + -3)

Reorder the terms:
(-3 + x)(x + 5) + -1(x + 4)(x + 3) = 4(2x + -3)

Reorder the terms:
(-3 + x)(5 + x) + -1(x + 4)(x + 3) = 4(2x + -3)

Multiply (-3 + x) * (5 + x)
(-3(5 + x) + x(5 + x)) + -1(x + 4)(x + 3) = 4(2x + -3)
((5 * -3 + x * -3) + x(5 + x)) + -1(x + 4)(x + 3) = 4(2x + -3)
((-15 + -3x) + x(5 + x)) + -1(x + 4)(x + 3) = 4(2x + -3)
(-15 + -3x + (5 * x + x * x)) + -1(x + 4)(x + 3) = 4(2x + -3)
(-15 + -3x + (5x + x2)) + -1(x + 4)(x + 3) = 4(2x + -3)

Combine like terms: -3x + 5x = 2x
(-15 + 2x + x2) + -1(x + 4)(x + 3) = 4(2x + -3)

Reorder the terms:
-15 + 2x + x2 + -1(4 + x)(x + 3) = 4(2x + -3)

Reorder the terms:
-15 + 2x + x2 + -1(4 + x)(3 + x) = 4(2x + -3)

Multiply (4 + x) * (3 + x)
-15 + 2x + x2 + -1(4(3 + x) + x(3 + x)) = 4(2x + -3)
-15 + 2x + x2 + -1((3 * 4 + x * 4) + x(3 + x)) = 4(2x + -3)
-15 + 2x + x2 + -1((12 + 4x) + x(3 + x)) = 4(2x + -3)
-15 + 2x + x2 + -1(12 + 4x + (3 * x + x * x)) = 4(2x + -3)
-15 + 2x + x2 + -1(12 + 4x + (3x + x2)) = 4(2x + -3)

Combine like terms: 4x + 3x = 7x
-15 + 2x + x2 + -1(12 + 7x + x2) = 4(2x + -3)
-15 + 2x + x2 + (12 * -1 + 7x * -1 + x2 * -1) = 4(2x + -3)
-15 + 2x + x2 + (-12 + -7x + -1x2) = 4(2x + -3)

Reorder the terms:
-15 + -12 + 2x + -7x + x2 + -1x2 = 4(2x + -3)

Combine like terms: -15 + -12 = -27
-27 + 2x + -7x + x2 + -1x2 = 4(2x + -3)

Combine like terms: 2x + -7x = -5x
-27 + -5x + x2 + -1x2 = 4(2x + -3)

Combine like terms: x2 + -1x2 = 0
-27 + -5x + 0 = 4(2x + -3)
-27 + -5x = 4(2x + -3)

Reorder the terms:
-27 + -5x = 4(-3 + 2x)
-27 + -5x = (-3 * 4 + 2x * 4)
-27 + -5x = (-12 + 8x)

Solving
-27 + -5x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + -5x + -8x = -12 + 8x + -8x

Combine like terms: -5x + -8x = -13x
-27 + -13x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + -13x = -12 + 0
-27 + -13x = -12

Add '27' to each side of the equation.
-27 + 27 + -13x = -12 + 27

Combine like terms: -27 + 27 = 0
0 + -13x = -12 + 27
-13x = -12 + 27

Combine like terms: -12 + 27 = 15
-13x = 15

Divide each side by '-13'.
x = -1.153846154

Simplifying
x = -1.153846154

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