(x-5)(x+8)=(x-2)(x+1)+6

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Solution for (x-5)(x+8)=(x-2)(x+1)+6 equation: 


Simplifying
(x + -5)(x + 8) = (x + -2)(x + 1) + 6

Reorder the terms:
(-5 + x)(x + 8) = (x + -2)(x + 1) + 6

Reorder the terms:
(-5 + x)(8 + x) = (x + -2)(x + 1) + 6

Multiply (-5 + x) * (8 + x)
(-5(8 + x) + x(8 + x)) = (x + -2)(x + 1) + 6
((8 * -5 + x * -5) + x(8 + x)) = (x + -2)(x + 1) + 6
((-40 + -5x) + x(8 + x)) = (x + -2)(x + 1) + 6
(-40 + -5x + (8 * x + x * x)) = (x + -2)(x + 1) + 6
(-40 + -5x + (8x + x2)) = (x + -2)(x + 1) + 6

Combine like terms: -5x + 8x = 3x
(-40 + 3x + x2) = (x + -2)(x + 1) + 6

Reorder the terms:
-40 + 3x + x2 = (-2 + x)(x + 1) + 6

Reorder the terms:
-40 + 3x + x2 = (-2 + x)(1 + x) + 6

Multiply (-2 + x) * (1 + x)
-40 + 3x + x2 = (-2(1 + x) + x(1 + x)) + 6
-40 + 3x + x2 = ((1 * -2 + x * -2) + x(1 + x)) + 6
-40 + 3x + x2 = ((-2 + -2x) + x(1 + x)) + 6
-40 + 3x + x2 = (-2 + -2x + (1 * x + x * x)) + 6
-40 + 3x + x2 = (-2 + -2x + (1x + x2)) + 6

Combine like terms: -2x + 1x = -1x
-40 + 3x + x2 = (-2 + -1x + x2) + 6

Reorder the terms:
-40 + 3x + x2 = -2 + 6 + -1x + x2

Combine like terms: -2 + 6 = 4
-40 + 3x + x2 = 4 + -1x + x2

Add '-1x2' to each side of the equation.
-40 + 3x + x2 + -1x2 = 4 + -1x + x2 + -1x2

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

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

Solving
-40 + 3x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-40 + 3x + x = 4 + -1x + x

Combine like terms: 3x + x = 4x
-40 + 4x = 4 + -1x + x

Combine like terms: -1x + x = 0
-40 + 4x = 4 + 0
-40 + 4x = 4

Add '40' to each side of the equation.
-40 + 40 + 4x = 4 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 4 + 40
4x = 4 + 40

Combine like terms: 4 + 40 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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