.8(x+200)=.87x-372

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Solution for .8(x+200)=.87x-372 equation: 


Simplifying
0.8(x + 200) = 0.87x + -372

Reorder the terms:
0.8(200 + x) = 0.87x + -372
(200 * 0.8 + x * 0.8) = 0.87x + -372
(160 + 0.8x) = 0.87x + -372

Reorder the terms:
160 + 0.8x = -372 + 0.87x

Solving
160 + 0.8x = -372 + 0.87x

Solving for variable 'x'.

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

Add '-0.87x' to each side of the equation.
160 + 0.8x + -0.87x = -372 + 0.87x + -0.87x

Combine like terms: 0.8x + -0.87x = -0.07x
160 + -0.07x = -372 + 0.87x + -0.87x

Combine like terms: 0.87x + -0.87x = 0.00
160 + -0.07x = -372 + 0.00
160 + -0.07x = -372

Add '-160' to each side of the equation.
160 + -160 + -0.07x = -372 + -160

Combine like terms: 160 + -160 = 0
0 + -0.07x = -372 + -160
-0.07x = -372 + -160

Combine like terms: -372 + -160 = -532
-0.07x = -532

Divide each side by '-0.07'.
x = 7600

Simplifying
x = 7600

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