(x+8)2=(2x+3)2

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Solution for (x+8)2=(2x+3)2 equation: 


Simplifying
(x + 8) * 2 = (2x + 3) * 2

Reorder the terms:
(8 + x) * 2 = (2x + 3) * 2

Reorder the terms for easier multiplication:
2(8 + x) = (2x + 3) * 2
(8 * 2 + x * 2) = (2x + 3) * 2
(16 + 2x) = (2x + 3) * 2

Reorder the terms:
16 + 2x = (3 + 2x) * 2

Reorder the terms for easier multiplication:
16 + 2x = 2(3 + 2x)
16 + 2x = (3 * 2 + 2x * 2)
16 + 2x = (6 + 4x)

Solving
16 + 2x = 6 + 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.
16 + 2x + -4x = 6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = 6 + 0
16 + -2x = 6

Add '-16' to each side of the equation.
16 + -16 + -2x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 6 + -16
-2x = 6 + -16

Combine like terms: 6 + -16 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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