(x-3)(x+2)+5=x(x-4)+11

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Solution for (x-3)(x+2)+5=x(x-4)+11 equation: 


Simplifying
(x + -3)(x + 2) + 5 = x(x + -4) + 11

Reorder the terms:
(-3 + x)(x + 2) + 5 = x(x + -4) + 11

Reorder the terms:
(-3 + x)(2 + x) + 5 = x(x + -4) + 11

Multiply (-3 + x) * (2 + x)
(-3(2 + x) + x(2 + x)) + 5 = x(x + -4) + 11
((2 * -3 + x * -3) + x(2 + x)) + 5 = x(x + -4) + 11
((-6 + -3x) + x(2 + x)) + 5 = x(x + -4) + 11
(-6 + -3x + (2 * x + x * x)) + 5 = x(x + -4) + 11
(-6 + -3x + (2x + x2)) + 5 = x(x + -4) + 11

Combine like terms: -3x + 2x = -1x
(-6 + -1x + x2) + 5 = x(x + -4) + 11

Reorder the terms:
-6 + 5 + -1x + x2 = x(x + -4) + 11

Combine like terms: -6 + 5 = -1
-1 + -1x + x2 = x(x + -4) + 11

Reorder the terms:
-1 + -1x + x2 = x(-4 + x) + 11
-1 + -1x + x2 = (-4 * x + x * x) + 11
-1 + -1x + x2 = (-4x + x2) + 11

Reorder the terms:
-1 + -1x + x2 = 11 + -4x + x2

Add '-1x2' to each side of the equation.
-1 + -1x + x2 + -1x2 = 11 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1x + 0 = 11 + -4x + x2 + -1x2
-1 + -1x = 11 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1x = 11 + -4x + 0
-1 + -1x = 11 + -4x

Solving
-1 + -1x = 11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + -1x + 4x = 11 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-1 + 3x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 3x = 11 + 0
-1 + 3x = 11

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

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

Combine like terms: 11 + 1 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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