7x(x+2)-6x^2=-x(6-x)+110

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Solution for 7x(x+2)-6x^2=-x(6-x)+110 equation: 


Simplifying
7x(x + 2) + -6x2 = -1x(6 + -1x) + 110

Reorder the terms:
7x(2 + x) + -6x2 = -1x(6 + -1x) + 110
(2 * 7x + x * 7x) + -6x2 = -1x(6 + -1x) + 110
(14x + 7x2) + -6x2 = -1x(6 + -1x) + 110

Combine like terms: 7x2 + -6x2 = 1x2
14x + 1x2 = -1x(6 + -1x) + 110
14x + 1x2 = (6 * -1x + -1x * -1x) + 110
14x + 1x2 = (-6x + 1x2) + 110

Reorder the terms:
14x + 1x2 = 110 + -6x + 1x2

Add '-1x2' to each side of the equation.
14x + 1x2 + -1x2 = 110 + -6x + 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
14x + 0 = 110 + -6x + 1x2 + -1x2
14x = 110 + -6x + 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
14x = 110 + -6x + 0
14x = 110 + -6x

Solving
14x = 110 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14x + 6x = 110 + -6x + 6x

Combine like terms: 14x + 6x = 20x
20x = 110 + -6x + 6x

Combine like terms: -6x + 6x = 0
20x = 110 + 0
20x = 110

Divide each side by '20'.
x = 5.5

Simplifying
x = 5.5

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