4[2x-(3-c)+5]=x(2+7x)

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Solution for 4[2x-(3-c)+5]=x(2+7x) equation:


Simplifying
4[2x + -1(3 + -1c) + 5] = x(2 + 7x)
4[2x + (3 * -1 + -1c * -1) + 5] = x(2 + 7x)
4[2x + (-3 + 1c) + 5] = x(2 + 7x)

Reorder the terms:
4[-3 + 5 + 1c + 2x] = x(2 + 7x)

Combine like terms: -3 + 5 = 2
4[2 + 1c + 2x] = x(2 + 7x)
[2 * 4 + 1c * 4 + 2x * 4] = x(2 + 7x)
[8 + 4c + 8x] = x(2 + 7x)
8 + 4c + 8x = (2 * x + 7x * x)
8 + 4c + 8x = (2x + 7x2)

Solving
8 + 4c + 8x = 2x + 7x2

Solving for variable 'c'.

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

Add '-8' to each side of the equation.
8 + 4c + -8 + 8x = 2x + -8 + 7x2

Reorder the terms:
8 + -8 + 4c + 8x = 2x + -8 + 7x2

Combine like terms: 8 + -8 = 0
0 + 4c + 8x = 2x + -8 + 7x2
4c + 8x = 2x + -8 + 7x2

Reorder the terms:
4c + 8x = -8 + 2x + 7x2

Add '-8x' to each side of the equation.
4c + 8x + -8x = -8 + 2x + -8x + 7x2

Combine like terms: 8x + -8x = 0
4c + 0 = -8 + 2x + -8x + 7x2
4c = -8 + 2x + -8x + 7x2

Combine like terms: 2x + -8x = -6x
4c = -8 + -6x + 7x2

Divide each side by '4'.
c = -2 + -1.5x + 1.75x2

Simplifying
c = -2 + -1.5x + 1.75x2

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