(x+3)*(x-2)=x*(x+4)-21

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Solution for (x+3)*(x-2)=x*(x+4)-21 equation: 


Simplifying
(x + 3)(x + -2) = x(x + 4) + -21

Reorder the terms:
(3 + x)(x + -2) = x(x + 4) + -21

Reorder the terms:
(3 + x)(-2 + x) = x(x + 4) + -21

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x)) = x(x + 4) + -21
((-2 * 3 + x * 3) + x(-2 + x)) = x(x + 4) + -21
((-6 + 3x) + x(-2 + x)) = x(x + 4) + -21
(-6 + 3x + (-2 * x + x * x)) = x(x + 4) + -21
(-6 + 3x + (-2x + x2)) = x(x + 4) + -21

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2) = x(x + 4) + -21

Reorder the terms:
-6 + 1x + x2 = x(4 + x) + -21
-6 + 1x + x2 = (4 * x + x * x) + -21
-6 + 1x + x2 = (4x + x2) + -21

Reorder the terms:
-6 + 1x + x2 = -21 + 4x + x2

Add '-1x2' to each side of the equation.
-6 + 1x + x2 + -1x2 = -21 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1x + 0 = -21 + 4x + x2 + -1x2
-6 + 1x = -21 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1x = -21 + 4x + 0
-6 + 1x = -21 + 4x

Solving
-6 + 1x = -21 + 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.
-6 + 1x + -4x = -21 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-6 + -3x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -3x = -21 + 0
-6 + -3x = -21

Add '6' to each side of the equation.
-6 + 6 + -3x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -21 + 6
-3x = -21 + 6

Combine like terms: -21 + 6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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