0.6*4.75+0.4*(x*22.5)+0.4*(1-x)*20=0

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Solution for 0.6*4.75+0.4*(x*22.5)+0.4*(1-x)*20=0 equation: 


Simplifying
0.6 * 4.75 + 0.4(x * 22.5) + 0.4(1 + -1x) * 20 = 0

Multiply 0.6 * 4.75
2.85 + 0.4(x * 22.5) + 0.4(1 + -1x) * 20 = 0

Reorder the terms for easier multiplication:
2.85 + 0.4(22.5x) + 0.4(1 + -1x) * 20 = 0

Remove parenthesis around (22.5x)
2.85 + 0.4 * 22.5x + 0.4(1 + -1x) * 20 = 0

Multiply 0.4 * 22.5
2.85 + 9x + 0.4(1 + -1x) * 20 = 0

Reorder the terms for easier multiplication:
2.85 + 9x + 0.4 * 20(1 + -1x) = 0

Multiply 0.4 * 20
2.85 + 9x + 8(1 + -1x) = 0
2.85 + 9x + (1 * 8 + -1x * 8) = 0
2.85 + 9x + (8 + -8x) = 0

Reorder the terms:
2.85 + 8 + 9x + -8x = 0

Combine like terms: 2.85 + 8 = 10.85
10.85 + 9x + -8x = 0

Combine like terms: 9x + -8x = 1x
10.85 + 1x = 0

Solving
10.85 + 1x = 0

Solving for variable 'x'.

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

Add '-10.85' to each side of the equation.
10.85 + -10.85 + 1x = 0 + -10.85

Combine like terms: 10.85 + -10.85 = 0.00
0.00 + 1x = 0 + -10.85
1x = 0 + -10.85

Combine like terms: 0 + -10.85 = -10.85
1x = -10.85

Divide each side by '1'.
x = -10.85

Simplifying
x = -10.85

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