((4x+1)2)+((2x+7)2)=180

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Solution for ((4x+1)2)+((2x+7)2)=180 equation:


Simplifying
((4x + 1) * 2) + ((2x + 7) * 2) = 180

Reorder the terms:
((1 + 4x) * 2) + ((2x + 7) * 2) = 180

Reorder the terms for easier multiplication:
(2(1 + 4x)) + ((2x + 7) * 2) = 180
((1 * 2 + 4x * 2)) + ((2x + 7) * 2) = 180
((2 + 8x)) + ((2x + 7) * 2) = 180
(2 + 8x) + ((2x + 7) * 2) = 180

Remove parenthesis around (2 + 8x)
2 + 8x + ((2x + 7) * 2) = 180

Reorder the terms:
2 + 8x + ((7 + 2x) * 2) = 180

Reorder the terms for easier multiplication:
2 + 8x + (2(7 + 2x)) = 180
2 + 8x + ((7 * 2 + 2x * 2)) = 180
2 + 8x + ((14 + 4x)) = 180
2 + 8x + (14 + 4x) = 180

Remove parenthesis around (14 + 4x)
2 + 8x + 14 + 4x = 180

Reorder the terms:
2 + 14 + 8x + 4x = 180

Combine like terms: 2 + 14 = 16
16 + 8x + 4x = 180

Combine like terms: 8x + 4x = 12x
16 + 12x = 180

Solving
16 + 12x = 180

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 = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 180 + -16
12x = 180 + -16

Combine like terms: 180 + -16 = 164
12x = 164

Divide each side by '12'.
x = 13.66666667

Simplifying
x = 13.66666667

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