0.75x+0.05(20-x)=0.10(122)

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Solution for 0.75x+0.05(20-x)=0.10(122) equation: 


Simplifying
0.75x + 0.05(20 + -1x) = 0.10(122)
0.75x + (20 * 0.05 + -1x * 0.05) = 0.10(122)
0.75x + (1 + -0.05x) = 0.10(122)

Reorder the terms:
1 + 0.75x + -0.05x = 0.10(122)

Combine like terms: 0.75x + -0.05x = 0.7x
1 + 0.7x = 0.10(122)

Multiply 0.10 * 122
1 + 0.7x = 12.2

Solving
1 + 0.7x = 12.2

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.7x = 12.2 + -1

Combine like terms: 1 + -1 = 0
0 + 0.7x = 12.2 + -1
0.7x = 12.2 + -1

Combine like terms: 12.2 + -1 = 11.2
0.7x = 11.2

Divide each side by '0.7'.
x = 16

Simplifying
x = 16

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