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

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


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

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

Reorder the terms for easier multiplication:
4(5 + 3x) = (2x + -2) * 2
(5 * 4 + 3x * 4) = (2x + -2) * 2
(20 + 12x) = (2x + -2) * 2

Reorder the terms:
20 + 12x = (-2 + 2x) * 2

Reorder the terms for easier multiplication:
20 + 12x = 2(-2 + 2x)
20 + 12x = (-2 * 2 + 2x * 2)
20 + 12x = (-4 + 4x)

Solving
20 + 12x = -4 + 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.
20 + 12x + -4x = -4 + 4x + -4x

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

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

Add '-20' to each side of the equation.
20 + -20 + 8x = -4 + -20

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

Combine like terms: -4 + -20 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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