6.6x+5.4(100-x)=100(5.87)

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Solution for 6.6x+5.4(100-x)=100(5.87) equation: 


Simplifying
6.6x + 5.4(100 + -1x) = 100(5.87)
6.6x + (100 * 5.4 + -1x * 5.4) = 100(5.87)
6.6x + (540 + -5.4x) = 100(5.87)

Reorder the terms:
540 + 6.6x + -5.4x = 100(5.87)

Combine like terms: 6.6x + -5.4x = 1.2x
540 + 1.2x = 100(5.87)

Multiply 100 * 5.87
540 + 1.2x = 587

Solving
540 + 1.2x = 587

Solving for variable 'x'.

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

Add '-540' to each side of the equation.
540 + -540 + 1.2x = 587 + -540

Combine like terms: 540 + -540 = 0
0 + 1.2x = 587 + -540
1.2x = 587 + -540

Combine like terms: 587 + -540 = 47
1.2x = 47

Divide each side by '1.2'.
x = 39.16666667

Simplifying
x = 39.16666667

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