((4x+1)2)+((2x+7)2)=23

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Solution for ((4x+1)2)+((2x+7)2)=23 equation:


Simplifying
((4x + 1) * 2) + ((2x + 7) * 2) = 23

Reorder the terms:
((1 + 4x) * 2) + ((2x + 7) * 2) = 23

Reorder the terms for easier multiplication:
(2(1 + 4x)) + ((2x + 7) * 2) = 23
((1 * 2 + 4x * 2)) + ((2x + 7) * 2) = 23
((2 + 8x)) + ((2x + 7) * 2) = 23
(2 + 8x) + ((2x + 7) * 2) = 23

Remove parenthesis around (2 + 8x)
2 + 8x + ((2x + 7) * 2) = 23

Reorder the terms:
2 + 8x + ((7 + 2x) * 2) = 23

Reorder the terms for easier multiplication:
2 + 8x + (2(7 + 2x)) = 23
2 + 8x + ((7 * 2 + 2x * 2)) = 23
2 + 8x + ((14 + 4x)) = 23
2 + 8x + (14 + 4x) = 23

Remove parenthesis around (14 + 4x)
2 + 8x + 14 + 4x = 23

Reorder the terms:
2 + 14 + 8x + 4x = 23

Combine like terms: 2 + 14 = 16
16 + 8x + 4x = 23

Combine like terms: 8x + 4x = 12x
16 + 12x = 23

Solving
16 + 12x = 23

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 12x = 23 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 23 + -16
12x = 23 + -16

Combine like terms: 23 + -16 = 7
12x = 7

Divide each side by '12'.
x = 0.5833333333

Simplifying
x = 0.5833333333

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