(x+5)(x-3)+6=x(x-3)+11

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Solution for (x+5)(x-3)+6=x(x-3)+11 equation: 


Simplifying
(x + 5)(x + -3) + 6 = x(x + -3) + 11

Reorder the terms:
(5 + x)(x + -3) + 6 = x(x + -3) + 11

Reorder the terms:
(5 + x)(-3 + x) + 6 = x(x + -3) + 11

Multiply (5 + x) * (-3 + x)
(5(-3 + x) + x(-3 + x)) + 6 = x(x + -3) + 11
((-3 * 5 + x * 5) + x(-3 + x)) + 6 = x(x + -3) + 11
((-15 + 5x) + x(-3 + x)) + 6 = x(x + -3) + 11
(-15 + 5x + (-3 * x + x * x)) + 6 = x(x + -3) + 11
(-15 + 5x + (-3x + x2)) + 6 = x(x + -3) + 11

Combine like terms: 5x + -3x = 2x
(-15 + 2x + x2) + 6 = x(x + -3) + 11

Reorder the terms:
-15 + 6 + 2x + x2 = x(x + -3) + 11

Combine like terms: -15 + 6 = -9
-9 + 2x + x2 = x(x + -3) + 11

Reorder the terms:
-9 + 2x + x2 = x(-3 + x) + 11
-9 + 2x + x2 = (-3 * x + x * x) + 11
-9 + 2x + x2 = (-3x + x2) + 11

Reorder the terms:
-9 + 2x + x2 = 11 + -3x + x2

Add '-1x2' to each side of the equation.
-9 + 2x + x2 + -1x2 = 11 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 2x + 0 = 11 + -3x + x2 + -1x2
-9 + 2x = 11 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 2x = 11 + -3x + 0
-9 + 2x = 11 + -3x

Solving
-9 + 2x = 11 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-9 + 2x + 3x = 11 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-9 + 5x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 5x = 11 + 0
-9 + 5x = 11

Add '9' to each side of the equation.
-9 + 9 + 5x = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 11 + 9
5x = 11 + 9

Combine like terms: 11 + 9 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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