(3x-1)2-(5x-3)2=-(4x-2)3

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Solution for (3x-1)2-(5x-3)2=-(4x-2)3 equation:


Simplifying
(3x + -1) * 2 + -1(5x + -3) * 2 = -1(4x + -2) * 3

Reorder the terms:
(-1 + 3x) * 2 + -1(5x + -3) * 2 = -1(4x + -2) * 3

Reorder the terms for easier multiplication:
2(-1 + 3x) + -1(5x + -3) * 2 = -1(4x + -2) * 3
(-1 * 2 + 3x * 2) + -1(5x + -3) * 2 = -1(4x + -2) * 3
(-2 + 6x) + -1(5x + -3) * 2 = -1(4x + -2) * 3

Reorder the terms:
-2 + 6x + -1(-3 + 5x) * 2 = -1(4x + -2) * 3

Reorder the terms for easier multiplication:
-2 + 6x + -1 * 2(-3 + 5x) = -1(4x + -2) * 3

Multiply -1 * 2
-2 + 6x + -2(-3 + 5x) = -1(4x + -2) * 3
-2 + 6x + (-3 * -2 + 5x * -2) = -1(4x + -2) * 3
-2 + 6x + (6 + -10x) = -1(4x + -2) * 3

Reorder the terms:
-2 + 6 + 6x + -10x = -1(4x + -2) * 3

Combine like terms: -2 + 6 = 4
4 + 6x + -10x = -1(4x + -2) * 3

Combine like terms: 6x + -10x = -4x
4 + -4x = -1(4x + -2) * 3

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

Reorder the terms for easier multiplication:
4 + -4x = -1 * 3(-2 + 4x)

Multiply -1 * 3
4 + -4x = -3(-2 + 4x)
4 + -4x = (-2 * -3 + 4x * -3)
4 + -4x = (6 + -12x)

Solving
4 + -4x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4 + -4x + 12x = 6 + -12x + 12x

Combine like terms: -4x + 12x = 8x
4 + 8x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
4 + 8x = 6 + 0
4 + 8x = 6

Add '-4' to each side of the equation.
4 + -4 + 8x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 6 + -4
8x = 6 + -4

Combine like terms: 6 + -4 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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