576=(3x+20)+5(.65x)+(.5x)

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Solution for 576=(3x+20)+5(.65x)+(.5x) equation:


Simplifying
576 = (3x + 20) + 5(0.65x) + (0.5x)

Reorder the terms:
576 = (20 + 3x) + 5(0.65x) + (0.5x)

Remove parenthesis around (20 + 3x)
576 = 20 + 3x + 5(0.65x) + (0.5x)

Remove parenthesis around (0.65x)
576 = 20 + 3x + 5 * 0.65x + (0.5x)

Multiply 5 * 0.65
576 = 20 + 3x + 3.25x + (0.5x)

Combine like terms: 3x + 3.25x = 6.25x
576 = 20 + 6.25x + (0.5x)

Combine like terms: 6.25x + (0.5x) = 6.75x
576 = 20 + 6.75x

Solving
576 = 20 + 6.75x

Solving for variable 'x'.

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

Add '-6.75x' to each side of the equation.
576 + -6.75x = 20 + 6.75x + -6.75x

Combine like terms: 6.75x + -6.75x = 0.00
576 + -6.75x = 20 + 0.00
576 + -6.75x = 20

Add '-576' to each side of the equation.
576 + -576 + -6.75x = 20 + -576

Combine like terms: 576 + -576 = 0
0 + -6.75x = 20 + -576
-6.75x = 20 + -576

Combine like terms: 20 + -576 = -556
-6.75x = -556

Divide each side by '-6.75'.
x = 82.37037037

Simplifying
x = 82.37037037

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