.4(x)+.25(65-x)=.27(65)

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Solution for .4(x)+.25(65-x)=.27(65) equation: 


Simplifying
0.4(x) + 0.25(65 + -1x) = 0.27(65)
0.4x + (65 * 0.25 + -1x * 0.25) = 0.27(65)
0.4x + (16.25 + -0.25x) = 0.27(65)

Reorder the terms:
16.25 + 0.4x + -0.25x = 0.27(65)

Combine like terms: 0.4x + -0.25x = 0.15x
16.25 + 0.15x = 0.27(65)

Multiply 0.27 * 65
16.25 + 0.15x = 17.55

Solving
16.25 + 0.15x = 17.55

Solving for variable 'x'.

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

Add '-16.25' to each side of the equation.
16.25 + -16.25 + 0.15x = 17.55 + -16.25

Combine like terms: 16.25 + -16.25 = 0.00
0.00 + 0.15x = 17.55 + -16.25
0.15x = 17.55 + -16.25

Combine like terms: 17.55 + -16.25 = 1.3
0.15x = 1.3

Divide each side by '0.15'.
x = 8.666666667

Simplifying
x = 8.666666667

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