2+2x(7+8x)=4x(4x-9)-2(x-5)

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Solution for 2+2x(7+8x)=4x(4x-9)-2(x-5) equation: 


Simplifying
2 + 2x(7 + 8x) = 4x(4x + -9) + -2(x + -5)
2 + (7 * 2x + 8x * 2x) = 4x(4x + -9) + -2(x + -5)
2 + (14x + 16x2) = 4x(4x + -9) + -2(x + -5)

Reorder the terms:
2 + 14x + 16x2 = 4x(-9 + 4x) + -2(x + -5)
2 + 14x + 16x2 = (-9 * 4x + 4x * 4x) + -2(x + -5)
2 + 14x + 16x2 = (-36x + 16x2) + -2(x + -5)

Reorder the terms:
2 + 14x + 16x2 = -36x + 16x2 + -2(-5 + x)
2 + 14x + 16x2 = -36x + 16x2 + (-5 * -2 + x * -2)
2 + 14x + 16x2 = -36x + 16x2 + (10 + -2x)

Reorder the terms:
2 + 14x + 16x2 = 10 + -36x + -2x + 16x2

Combine like terms: -36x + -2x = -38x
2 + 14x + 16x2 = 10 + -38x + 16x2

Add '-16x2' to each side of the equation.
2 + 14x + 16x2 + -16x2 = 10 + -38x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
2 + 14x + 0 = 10 + -38x + 16x2 + -16x2
2 + 14x = 10 + -38x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
2 + 14x = 10 + -38x + 0
2 + 14x = 10 + -38x

Solving
2 + 14x = 10 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
2 + 14x + 38x = 10 + -38x + 38x

Combine like terms: 14x + 38x = 52x
2 + 52x = 10 + -38x + 38x

Combine like terms: -38x + 38x = 0
2 + 52x = 10 + 0
2 + 52x = 10

Add '-2' to each side of the equation.
2 + -2 + 52x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 52x = 10 + -2
52x = 10 + -2

Combine like terms: 10 + -2 = 8
52x = 8

Divide each side by '52'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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