0.80x+0.05(2-x)=0.10(61)

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Solution for 0.80x+0.05(2-x)=0.10(61) equation: 


Simplifying
0.80x + 0.05(2 + -1x) = 0.10(61)
0.80x + (2 * 0.05 + -1x * 0.05) = 0.10(61)
0.80x + (0.1 + -0.05x) = 0.10(61)

Reorder the terms:
0.1 + 0.80x + -0.05x = 0.10(61)

Combine like terms: 0.80x + -0.05x = 0.75x
0.1 + 0.75x = 0.10(61)

Multiply 0.10 * 61
0.1 + 0.75x = 6.1

Solving
0.1 + 0.75x = 6.1

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.75x = 6.1 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.75x = 6.1 + -0.1
0.75x = 6.1 + -0.1

Combine like terms: 6.1 + -0.1 = 6
0.75x = 6

Divide each side by '0.75'.
x = 8

Simplifying
x = 8

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