(2x+1)2-(2x-3)2=2(4x+3)+3(x-3)+15

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Solution for (2x+1)2-(2x-3)2=2(4x+3)+3(x-3)+15 equation: 


Simplifying
(2x + 1) * 2 + -1(2x + -3) * 2 = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms:
(1 + 2x) * 2 + -1(2x + -3) * 2 = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms for easier multiplication:
2(1 + 2x) + -1(2x + -3) * 2 = 2(4x + 3) + 3(x + -3) + 15
(1 * 2 + 2x * 2) + -1(2x + -3) * 2 = 2(4x + 3) + 3(x + -3) + 15
(2 + 4x) + -1(2x + -3) * 2 = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms:
2 + 4x + -1(-3 + 2x) * 2 = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms for easier multiplication:
2 + 4x + -1 * 2(-3 + 2x) = 2(4x + 3) + 3(x + -3) + 15

Multiply -1 * 2
2 + 4x + -2(-3 + 2x) = 2(4x + 3) + 3(x + -3) + 15
2 + 4x + (-3 * -2 + 2x * -2) = 2(4x + 3) + 3(x + -3) + 15
2 + 4x + (6 + -4x) = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms:
2 + 6 + 4x + -4x = 2(4x + 3) + 3(x + -3) + 15

Combine like terms: 2 + 6 = 8
8 + 4x + -4x = 2(4x + 3) + 3(x + -3) + 15

Combine like terms: 4x + -4x = 0
8 + 0 = 2(4x + 3) + 3(x + -3) + 15
8 = 2(4x + 3) + 3(x + -3) + 15

Reorder the terms:
8 = 2(3 + 4x) + 3(x + -3) + 15
8 = (3 * 2 + 4x * 2) + 3(x + -3) + 15
8 = (6 + 8x) + 3(x + -3) + 15

Reorder the terms:
8 = 6 + 8x + 3(-3 + x) + 15
8 = 6 + 8x + (-3 * 3 + x * 3) + 15
8 = 6 + 8x + (-9 + 3x) + 15

Reorder the terms:
8 = 6 + -9 + 15 + 8x + 3x

Combine like terms: 6 + -9 = -3
8 = -3 + 15 + 8x + 3x

Combine like terms: -3 + 15 = 12
8 = 12 + 8x + 3x

Combine like terms: 8x + 3x = 11x
8 = 12 + 11x

Solving
8 = 12 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
8 + -11x = 12 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -11x = 12 + 0
8 + -11x = 12

Add '-8' to each side of the equation.
8 + -8 + -11x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 12 + -8
-11x = 12 + -8

Combine like terms: 12 + -8 = 4
-11x = 4

Divide each side by '-11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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