0.8(x+100)=0.86x-352

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Solution for 0.8(x+100)=0.86x-352 equation: 


Simplifying
0.8(x + 100) = 0.86x + -352

Reorder the terms:
0.8(100 + x) = 0.86x + -352
(100 * 0.8 + x * 0.8) = 0.86x + -352
(80 + 0.8x) = 0.86x + -352

Reorder the terms:
80 + 0.8x = -352 + 0.86x

Solving
80 + 0.8x = -352 + 0.86x

Solving for variable 'x'.

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

Add '-0.86x' to each side of the equation.
80 + 0.8x + -0.86x = -352 + 0.86x + -0.86x

Combine like terms: 0.8x + -0.86x = -0.06x
80 + -0.06x = -352 + 0.86x + -0.86x

Combine like terms: 0.86x + -0.86x = 0.00
80 + -0.06x = -352 + 0.00
80 + -0.06x = -352

Add '-80' to each side of the equation.
80 + -80 + -0.06x = -352 + -80

Combine like terms: 80 + -80 = 0
0 + -0.06x = -352 + -80
-0.06x = -352 + -80

Combine like terms: -352 + -80 = -432
-0.06x = -432

Divide each side by '-0.06'.
x = 7200

Simplifying
x = 7200

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