0.8(x+200)=0.86x-284

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Solution for 0.8(x+200)=0.86x-284 equation: 


Simplifying
0.8(x + 200) = 0.86x + -284

Reorder the terms:
0.8(200 + x) = 0.86x + -284
(200 * 0.8 + x * 0.8) = 0.86x + -284
(160 + 0.8x) = 0.86x + -284

Reorder the terms:
160 + 0.8x = -284 + 0.86x

Solving
160 + 0.8x = -284 + 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.
160 + 0.8x + -0.86x = -284 + 0.86x + -0.86x

Combine like terms: 0.8x + -0.86x = -0.06x
160 + -0.06x = -284 + 0.86x + -0.86x

Combine like terms: 0.86x + -0.86x = 0.00
160 + -0.06x = -284 + 0.00
160 + -0.06x = -284

Add '-160' to each side of the equation.
160 + -160 + -0.06x = -284 + -160

Combine like terms: 160 + -160 = 0
0 + -0.06x = -284 + -160
-0.06x = -284 + -160

Combine like terms: -284 + -160 = -444
-0.06x = -444

Divide each side by '-0.06'.
x = 7400

Simplifying
x = 7400

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