.40x+.05(16-x)=.10(-55)

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Solution for .40x+.05(16-x)=.10(-55) equation:


Simplifying
0.40x + 0.05(16 + -1x) = 0.10(-55)
0.40x + (16 * 0.05 + -1x * 0.05) = 0.10(-55)
0.40x + (0.8 + -0.05x) = 0.10(-55)

Reorder the terms:
0.8 + 0.40x + -0.05x = 0.10(-55)

Combine like terms: 0.40x + -0.05x = 0.35x
0.8 + 0.35x = 0.10(-55)

Multiply 0.10 * -55
0.8 + 0.35x = -5.5

Solving
0.8 + 0.35x = -5.5

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.35x = -5.5 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.35x = -5.5 + -0.8
0.35x = -5.5 + -0.8

Combine like terms: -5.5 + -0.8 = -6.3
0.35x = -6.3

Divide each side by '0.35'.
x = -18

Simplifying
x = -18

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