0.7(x+200)=0.76x-322

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Solution for 0.7(x+200)=0.76x-322 equation: 


Simplifying
0.7(x + 200) = 0.76x + -322

Reorder the terms:
0.7(200 + x) = 0.76x + -322
(200 * 0.7 + x * 0.7) = 0.76x + -322
(140 + 0.7x) = 0.76x + -322

Reorder the terms:
140 + 0.7x = -322 + 0.76x

Solving
140 + 0.7x = -322 + 0.76x

Solving for variable 'x'.

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

Add '-0.76x' to each side of the equation.
140 + 0.7x + -0.76x = -322 + 0.76x + -0.76x

Combine like terms: 0.7x + -0.76x = -0.06x
140 + -0.06x = -322 + 0.76x + -0.76x

Combine like terms: 0.76x + -0.76x = 0.00
140 + -0.06x = -322 + 0.00
140 + -0.06x = -322

Add '-140' to each side of the equation.
140 + -140 + -0.06x = -322 + -140

Combine like terms: 140 + -140 = 0
0 + -0.06x = -322 + -140
-0.06x = -322 + -140

Combine like terms: -322 + -140 = -462
-0.06x = -462

Divide each side by '-0.06'.
x = 7700

Simplifying
x = 7700

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