(2x+4)2-(4x-6)2=0

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Solution for (2x+4)2-(4x-6)2=0 equation: 


Simplifying
(2x + 4) * 2 + -1(4x + -6) * 2 = 0

Reorder the terms:
(4 + 2x) * 2 + -1(4x + -6) * 2 = 0

Reorder the terms for easier multiplication:
2(4 + 2x) + -1(4x + -6) * 2 = 0
(4 * 2 + 2x * 2) + -1(4x + -6) * 2 = 0
(8 + 4x) + -1(4x + -6) * 2 = 0

Reorder the terms:
8 + 4x + -1(-6 + 4x) * 2 = 0

Reorder the terms for easier multiplication:
8 + 4x + -1 * 2(-6 + 4x) = 0

Multiply -1 * 2
8 + 4x + -2(-6 + 4x) = 0
8 + 4x + (-6 * -2 + 4x * -2) = 0
8 + 4x + (12 + -8x) = 0

Reorder the terms:
8 + 12 + 4x + -8x = 0

Combine like terms: 8 + 12 = 20
20 + 4x + -8x = 0

Combine like terms: 4x + -8x = -4x
20 + -4x = 0

Solving
20 + -4x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -4x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 0 + -20
-4x = 0 + -20

Combine like terms: 0 + -20 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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