(x+3)(x+8)=x(x-5)+168

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Solution for (x+3)(x+8)=x(x-5)+168 equation: 


Simplifying
(x + 3)(x + 8) = x(x + -5) + 168

Reorder the terms:
(3 + x)(x + 8) = x(x + -5) + 168

Reorder the terms:
(3 + x)(8 + x) = x(x + -5) + 168

Multiply (3 + x) * (8 + x)
(3(8 + x) + x(8 + x)) = x(x + -5) + 168
((8 * 3 + x * 3) + x(8 + x)) = x(x + -5) + 168
((24 + 3x) + x(8 + x)) = x(x + -5) + 168
(24 + 3x + (8 * x + x * x)) = x(x + -5) + 168
(24 + 3x + (8x + x2)) = x(x + -5) + 168

Combine like terms: 3x + 8x = 11x
(24 + 11x + x2) = x(x + -5) + 168

Reorder the terms:
24 + 11x + x2 = x(-5 + x) + 168
24 + 11x + x2 = (-5 * x + x * x) + 168
24 + 11x + x2 = (-5x + x2) + 168

Reorder the terms:
24 + 11x + x2 = 168 + -5x + x2

Add '-1x2' to each side of the equation.
24 + 11x + x2 + -1x2 = 168 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 11x + 0 = 168 + -5x + x2 + -1x2
24 + 11x = 168 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 11x = 168 + -5x + 0
24 + 11x = 168 + -5x

Solving
24 + 11x = 168 + -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.
24 + 11x + 5x = 168 + -5x + 5x

Combine like terms: 11x + 5x = 16x
24 + 16x = 168 + -5x + 5x

Combine like terms: -5x + 5x = 0
24 + 16x = 168 + 0
24 + 16x = 168

Add '-24' to each side of the equation.
24 + -24 + 16x = 168 + -24

Combine like terms: 24 + -24 = 0
0 + 16x = 168 + -24
16x = 168 + -24

Combine like terms: 168 + -24 = 144
16x = 144

Divide each side by '16'.
x = 9

Simplifying
x = 9

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