x(x+2)-7=(x-3)(x+4)-x

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Solution for x(x+2)-7=(x-3)(x+4)-x equation: 


Simplifying
x(x + 2) + -7 = (x + -3)(x + 4) + -1x

Reorder the terms:
x(2 + x) + -7 = (x + -3)(x + 4) + -1x
(2 * x + x * x) + -7 = (x + -3)(x + 4) + -1x
(2x + x2) + -7 = (x + -3)(x + 4) + -1x

Reorder the terms:
-7 + 2x + x2 = (x + -3)(x + 4) + -1x

Reorder the terms:
-7 + 2x + x2 = (-3 + x)(x + 4) + -1x

Reorder the terms:
-7 + 2x + x2 = (-3 + x)(4 + x) + -1x

Multiply (-3 + x) * (4 + x)
-7 + 2x + x2 = (-3(4 + x) + x(4 + x)) + -1x
-7 + 2x + x2 = ((4 * -3 + x * -3) + x(4 + x)) + -1x
-7 + 2x + x2 = ((-12 + -3x) + x(4 + x)) + -1x
-7 + 2x + x2 = (-12 + -3x + (4 * x + x * x)) + -1x
-7 + 2x + x2 = (-12 + -3x + (4x + x2)) + -1x

Combine like terms: -3x + 4x = 1x
-7 + 2x + x2 = (-12 + 1x + x2) + -1x

Reorder the terms:
-7 + 2x + x2 = -12 + 1x + -1x + x2

Combine like terms: 1x + -1x = 0
-7 + 2x + x2 = -12 + 0 + x2
-7 + 2x + x2 = -12 + x2

Add '-1x2' to each side of the equation.
-7 + 2x + x2 + -1x2 = -12 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 2x + 0 = -12 + x2 + -1x2
-7 + 2x = -12 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 2x = -12 + 0
-7 + 2x = -12

Solving
-7 + 2x = -12

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 2x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -12 + 7
2x = -12 + 7

Combine like terms: -12 + 7 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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