.55x+.80(-x+170)=102

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Solution for .55x+.80(-x+170)=102 equation:


Simplifying
0.55x + 0.80(-1x + 170) = 102

Reorder the terms:
0.55x + 0.80(170 + -1x) = 102
0.55x + (170 * 0.80 + -1x * 0.80) = 102
0.55x + (136 + -0.8x) = 102

Reorder the terms:
136 + 0.55x + -0.8x = 102

Combine like terms: 0.55x + -0.8x = -0.25x
136 + -0.25x = 102

Solving
136 + -0.25x = 102

Solving for variable 'x'.

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

Add '-136' to each side of the equation.
136 + -136 + -0.25x = 102 + -136

Combine like terms: 136 + -136 = 0
0 + -0.25x = 102 + -136
-0.25x = 102 + -136

Combine like terms: 102 + -136 = -34
-0.25x = -34

Divide each side by '-0.25'.
x = 136

Simplifying
x = 136

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