96(2+x)=80(x-3)

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Solution for 96(2+x)=80(x-3) equation: 


Simplifying
96(2 + x) = 80(x + -3)
(2 * 96 + x * 96) = 80(x + -3)
(192 + 96x) = 80(x + -3)

Reorder the terms:
192 + 96x = 80(-3 + x)
192 + 96x = (-3 * 80 + x * 80)
192 + 96x = (-240 + 80x)

Solving
192 + 96x = -240 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
192 + 96x + -80x = -240 + 80x + -80x

Combine like terms: 96x + -80x = 16x
192 + 16x = -240 + 80x + -80x

Combine like terms: 80x + -80x = 0
192 + 16x = -240 + 0
192 + 16x = -240

Add '-192' to each side of the equation.
192 + -192 + 16x = -240 + -192

Combine like terms: 192 + -192 = 0
0 + 16x = -240 + -192
16x = -240 + -192

Combine like terms: -240 + -192 = -432
16x = -432

Divide each side by '16'.
x = -27

Simplifying
x = -27

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