0.80x+0.05(10-x)=0.10(80)

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Solution for 0.80x+0.05(10-x)=0.10(80) equation: 


Simplifying
0.80x + 0.05(10 + -1x) = 0.10(80)
0.80x + (10 * 0.05 + -1x * 0.05) = 0.10(80)
0.80x + (0.5 + -0.05x) = 0.10(80)

Reorder the terms:
0.5 + 0.80x + -0.05x = 0.10(80)

Combine like terms: 0.80x + -0.05x = 0.75x
0.5 + 0.75x = 0.10(80)

Multiply 0.10 * 80
0.5 + 0.75x = 8

Solving
0.5 + 0.75x = 8

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.75x = 8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.75x = 8 + -0.5
0.75x = 8 + -0.5

Combine like terms: 8 + -0.5 = 7.5
0.75x = 7.5

Divide each side by '0.75'.
x = 10

Simplifying
x = 10

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