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

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


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

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

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

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) + -1(x + -4)(4 + x) = 2x
((3 * -3 + x * -3) + x(3 + x)) + -1(x + -4)(4 + x) = 2x
((-9 + -3x) + x(3 + x)) + -1(x + -4)(4 + x) = 2x
(-9 + -3x + (3 * x + x * x)) + -1(x + -4)(4 + x) = 2x
(-9 + -3x + (3x + x2)) + -1(x + -4)(4 + x) = 2x

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) + -1(x + -4)(4 + x) = 2x
(-9 + x2) + -1(x + -4)(4 + x) = 2x

Reorder the terms:
-9 + x2 + -1(-4 + x)(4 + x) = 2x

Multiply (-4 + x) * (4 + x)
-9 + x2 + -1(-4(4 + x) + x(4 + x)) = 2x
-9 + x2 + -1((4 * -4 + x * -4) + x(4 + x)) = 2x
-9 + x2 + -1((-16 + -4x) + x(4 + x)) = 2x
-9 + x2 + -1(-16 + -4x + (4 * x + x * x)) = 2x
-9 + x2 + -1(-16 + -4x + (4x + x2)) = 2x

Combine like terms: -4x + 4x = 0
-9 + x2 + -1(-16 + 0 + x2) = 2x
-9 + x2 + -1(-16 + x2) = 2x
-9 + x2 + (-16 * -1 + x2 * -1) = 2x
-9 + x2 + (16 + -1x2) = 2x

Reorder the terms:
-9 + 16 + x2 + -1x2 = 2x

Combine like terms: -9 + 16 = 7
7 + x2 + -1x2 = 2x

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

Solving
7 = 2x

Solving for variable 'x'.

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

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

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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