(2x+1)2-2(x-5)+6=3(x+1)+(x-1)2+23

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Solution for (2x+1)2-2(x-5)+6=3(x+1)+(x-1)2+23 equation: 


Simplifying
(2x + 1) * 2 + -2(x + -5) + 6 = 3(x + 1) + (x + -1) * 2 + 23

Reorder the terms:
(1 + 2x) * 2 + -2(x + -5) + 6 = 3(x + 1) + (x + -1) * 2 + 23

Reorder the terms for easier multiplication:
2(1 + 2x) + -2(x + -5) + 6 = 3(x + 1) + (x + -1) * 2 + 23
(1 * 2 + 2x * 2) + -2(x + -5) + 6 = 3(x + 1) + (x + -1) * 2 + 23
(2 + 4x) + -2(x + -5) + 6 = 3(x + 1) + (x + -1) * 2 + 23

Reorder the terms:
2 + 4x + -2(-5 + x) + 6 = 3(x + 1) + (x + -1) * 2 + 23
2 + 4x + (-5 * -2 + x * -2) + 6 = 3(x + 1) + (x + -1) * 2 + 23
2 + 4x + (10 + -2x) + 6 = 3(x + 1) + (x + -1) * 2 + 23

Reorder the terms:
2 + 10 + 6 + 4x + -2x = 3(x + 1) + (x + -1) * 2 + 23

Combine like terms: 2 + 10 = 12
12 + 6 + 4x + -2x = 3(x + 1) + (x + -1) * 2 + 23

Combine like terms: 12 + 6 = 18
18 + 4x + -2x = 3(x + 1) + (x + -1) * 2 + 23

Combine like terms: 4x + -2x = 2x
18 + 2x = 3(x + 1) + (x + -1) * 2 + 23

Reorder the terms:
18 + 2x = 3(1 + x) + (x + -1) * 2 + 23
18 + 2x = (1 * 3 + x * 3) + (x + -1) * 2 + 23
18 + 2x = (3 + 3x) + (x + -1) * 2 + 23

Reorder the terms:
18 + 2x = 3 + 3x + (-1 + x) * 2 + 23

Reorder the terms for easier multiplication:
18 + 2x = 3 + 3x + 2(-1 + x) + 23
18 + 2x = 3 + 3x + (-1 * 2 + x * 2) + 23
18 + 2x = 3 + 3x + (-2 + 2x) + 23

Reorder the terms:
18 + 2x = 3 + -2 + 23 + 3x + 2x

Combine like terms: 3 + -2 = 1
18 + 2x = 1 + 23 + 3x + 2x

Combine like terms: 1 + 23 = 24
18 + 2x = 24 + 3x + 2x

Combine like terms: 3x + 2x = 5x
18 + 2x = 24 + 5x

Solving
18 + 2x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 2x + -5x = 24 + 5x + -5x

Combine like terms: 2x + -5x = -3x
18 + -3x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -3x = 24 + 0
18 + -3x = 24

Add '-18' to each side of the equation.
18 + -18 + -3x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 24 + -18
-3x = 24 + -18

Combine like terms: 24 + -18 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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