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

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


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

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

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

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

Reorder the terms for easier multiplication:
4 + 6x + 2(-3 + 4x) = (5x + -1) * 2
4 + 6x + (-3 * 2 + 4x * 2) = (5x + -1) * 2
4 + 6x + (-6 + 8x) = (5x + -1) * 2

Reorder the terms:
4 + -6 + 6x + 8x = (5x + -1) * 2

Combine like terms: 4 + -6 = -2
-2 + 6x + 8x = (5x + -1) * 2

Combine like terms: 6x + 8x = 14x
-2 + 14x = (5x + -1) * 2

Reorder the terms:
-2 + 14x = (-1 + 5x) * 2

Reorder the terms for easier multiplication:
-2 + 14x = 2(-1 + 5x)
-2 + 14x = (-1 * 2 + 5x * 2)
-2 + 14x = (-2 + 10x)

Add '2' to each side of the equation.
-2 + 2 + 14x = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
0 + 14x = -2 + 2 + 10x
14x = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
14x = 0 + 10x
14x = 10x

Solving
14x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14x + -10x = 10x + -10x

Combine like terms: 14x + -10x = 4x
4x = 10x + -10x

Combine like terms: 10x + -10x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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