4x(9-6x)+96=-8x(5+3x)-56

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Solution for 4x(9-6x)+96=-8x(5+3x)-56 equation:


Simplifying
4x(9 + -6x) + 96 = -8x(5 + 3x) + -56
(9 * 4x + -6x * 4x) + 96 = -8x(5 + 3x) + -56
(36x + -24x2) + 96 = -8x(5 + 3x) + -56

Reorder the terms:
96 + 36x + -24x2 = -8x(5 + 3x) + -56
96 + 36x + -24x2 = (5 * -8x + 3x * -8x) + -56
96 + 36x + -24x2 = (-40x + -24x2) + -56

Reorder the terms:
96 + 36x + -24x2 = -56 + -40x + -24x2

Add '24x2' to each side of the equation.
96 + 36x + -24x2 + 24x2 = -56 + -40x + -24x2 + 24x2

Combine like terms: -24x2 + 24x2 = 0
96 + 36x + 0 = -56 + -40x + -24x2 + 24x2
96 + 36x = -56 + -40x + -24x2 + 24x2

Combine like terms: -24x2 + 24x2 = 0
96 + 36x = -56 + -40x + 0
96 + 36x = -56 + -40x

Solving
96 + 36x = -56 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
96 + 36x + 40x = -56 + -40x + 40x

Combine like terms: 36x + 40x = 76x
96 + 76x = -56 + -40x + 40x

Combine like terms: -40x + 40x = 0
96 + 76x = -56 + 0
96 + 76x = -56

Add '-96' to each side of the equation.
96 + -96 + 76x = -56 + -96

Combine like terms: 96 + -96 = 0
0 + 76x = -56 + -96
76x = -56 + -96

Combine like terms: -56 + -96 = -152
76x = -152

Divide each side by '76'.
x = -2

Simplifying
x = -2

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