0.75x+0.05(16-x)=0.10(78)

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Solution for 0.75x+0.05(16-x)=0.10(78) equation: 


Simplifying
0.75x + 0.05(16 + -1x) = 0.10(78)
0.75x + (16 * 0.05 + -1x * 0.05) = 0.10(78)
0.75x + (0.8 + -0.05x) = 0.10(78)

Reorder the terms:
0.8 + 0.75x + -0.05x = 0.10(78)

Combine like terms: 0.75x + -0.05x = 0.7x
0.8 + 0.7x = 0.10(78)

Multiply 0.10 * 78
0.8 + 0.7x = 7.8

Solving
0.8 + 0.7x = 7.8

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 + 0.7x = 7.8 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 7.8 + -0.8
0.7x = 7.8 + -0.8

Combine like terms: 7.8 + -0.8 = 7
0.7x = 7

Divide each side by '0.7'.
x = 10

Simplifying
x = 10

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