0.80x+0.05(6-x)=0.10(78)

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Solution for 0.80x+0.05(6-x)=0.10(78) equation: 


Simplifying
0.80x + 0.05(6 + -1x) = 0.10(78)
0.80x + (6 * 0.05 + -1x * 0.05) = 0.10(78)
0.80x + (0.3 + -0.05x) = 0.10(78)

Reorder the terms:
0.3 + 0.80x + -0.05x = 0.10(78)

Combine like terms: 0.80x + -0.05x = 0.75x
0.3 + 0.75x = 0.10(78)

Multiply 0.10 * 78
0.3 + 0.75x = 7.8

Solving
0.3 + 0.75x = 7.8

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.75x = 7.8 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.75x = 7.8 + -0.3
0.75x = 7.8 + -0.3

Combine like terms: 7.8 + -0.3 = 7.5
0.75x = 7.5

Divide each side by '0.75'.
x = 10

Simplifying
x = 10

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