0.75x+0.05(8-x)=0.10(-122)

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Solution for 0.75x+0.05(8-x)=0.10(-122) equation: 


Simplifying
0.75x + 0.05(8 + -1x) = 0.10(-122)
0.75x + (8 * 0.05 + -1x * 0.05) = 0.10(-122)
0.75x + (0.4 + -0.05x) = 0.10(-122)

Reorder the terms:
0.4 + 0.75x + -0.05x = 0.10(-122)

Combine like terms: 0.75x + -0.05x = 0.7x
0.4 + 0.7x = 0.10(-122)

Multiply 0.10 * -122
0.4 + 0.7x = -12.2

Solving
0.4 + 0.7x = -12.2

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.7x = -12.2 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.7x = -12.2 + -0.4
0.7x = -12.2 + -0.4

Combine like terms: -12.2 + -0.4 = -12.6
0.7x = -12.6

Divide each side by '0.7'.
x = -18

Simplifying
x = -18

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