0.45x+.05(16-x)=.10(16)

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Solution for 0.45x+.05(16-x)=.10(16) equation: 


Simplifying
0.45x + 0.05(16 + -1x) = 0.10(16)
0.45x + (16 * 0.05 + -1x * 0.05) = 0.10(16)
0.45x + (0.8 + -0.05x) = 0.10(16)

Reorder the terms:
0.8 + 0.45x + -0.05x = 0.10(16)

Combine like terms: 0.45x + -0.05x = 0.4x
0.8 + 0.4x = 0.10(16)

Multiply 0.10 * 16
0.8 + 0.4x = 1.6

Solving
0.8 + 0.4x = 1.6

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 + 0.4x = 1.6 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.4x = 1.6 + -0.8
0.4x = 1.6 + -0.8

Combine like terms: 1.6 + -0.8 = 0.8
0.4x = 0.8

Divide each side by '0.4'.
x = 2

Simplifying
x = 2

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