0.7(x+200)=0.78x-428

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Solution for 0.7(x+200)=0.78x-428 equation: 


Simplifying
0.7(x + 200) = 0.78x + -428

Reorder the terms:
0.7(200 + x) = 0.78x + -428
(200 * 0.7 + x * 0.7) = 0.78x + -428
(140 + 0.7x) = 0.78x + -428

Reorder the terms:
140 + 0.7x = -428 + 0.78x

Solving
140 + 0.7x = -428 + 0.78x

Solving for variable 'x'.

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

Add '-0.78x' to each side of the equation.
140 + 0.7x + -0.78x = -428 + 0.78x + -0.78x

Combine like terms: 0.7x + -0.78x = -0.08x
140 + -0.08x = -428 + 0.78x + -0.78x

Combine like terms: 0.78x + -0.78x = 0.00
140 + -0.08x = -428 + 0.00
140 + -0.08x = -428

Add '-140' to each side of the equation.
140 + -140 + -0.08x = -428 + -140

Combine like terms: 140 + -140 = 0
0 + -0.08x = -428 + -140
-0.08x = -428 + -140

Combine like terms: -428 + -140 = -568
-0.08x = -568

Divide each side by '-0.08'.
x = 7100

Simplifying
x = 7100

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