(3x+8)2=(4x-5)2

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Solution for (3x+8)2=(4x-5)2 equation: 


Simplifying
(3x + 8) * 2 = (4x + -5) * 2

Reorder the terms:
(8 + 3x) * 2 = (4x + -5) * 2

Reorder the terms for easier multiplication:
2(8 + 3x) = (4x + -5) * 2
(8 * 2 + 3x * 2) = (4x + -5) * 2
(16 + 6x) = (4x + -5) * 2

Reorder the terms:
16 + 6x = (-5 + 4x) * 2

Reorder the terms for easier multiplication:
16 + 6x = 2(-5 + 4x)
16 + 6x = (-5 * 2 + 4x * 2)
16 + 6x = (-10 + 8x)

Solving
16 + 6x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + 6x + -8x = -10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
16 + -2x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -2x = -10 + 0
16 + -2x = -10

Add '-16' to each side of the equation.
16 + -16 + -2x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -10 + -16
-2x = -10 + -16

Combine like terms: -10 + -16 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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