80(1.7-x)+25(1.7+x)=20

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Solution for 80(1.7-x)+25(1.7+x)=20 equation: 


Simplifying
80(1.7 + -1x) + 25(1.7 + x) = 20
(1.7 * 80 + -1x * 80) + 25(1.7 + x) = 20
(136 + -80x) + 25(1.7 + x) = 20
136 + -80x + (1.7 * 25 + x * 25) = 20
136 + -80x + (42.5 + 25x) = 20

Reorder the terms:
136 + 42.5 + -80x + 25x = 20

Combine like terms: 136 + 42.5 = 178.5
178.5 + -80x + 25x = 20

Combine like terms: -80x + 25x = -55x
178.5 + -55x = 20

Solving
178.5 + -55x = 20

Solving for variable 'x'.

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

Add '-178.5' to each side of the equation.
178.5 + -178.5 + -55x = 20 + -178.5

Combine like terms: 178.5 + -178.5 = 0.0
0.0 + -55x = 20 + -178.5
-55x = 20 + -178.5

Combine like terms: 20 + -178.5 = -158.5
-55x = -158.5

Divide each side by '-55'.
x = 2.881818182

Simplifying
x = 2.881818182

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