0.5(x+200)=0.54x-212

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Solution for 0.5(x+200)=0.54x-212 equation: 


Simplifying
0.5(x + 200) = 0.54x + -212

Reorder the terms:
0.5(200 + x) = 0.54x + -212
(200 * 0.5 + x * 0.5) = 0.54x + -212
(100 + 0.5x) = 0.54x + -212

Reorder the terms:
100 + 0.5x = -212 + 0.54x

Solving
100 + 0.5x = -212 + 0.54x

Solving for variable 'x'.

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

Add '-0.54x' to each side of the equation.
100 + 0.5x + -0.54x = -212 + 0.54x + -0.54x

Combine like terms: 0.5x + -0.54x = -0.04x
100 + -0.04x = -212 + 0.54x + -0.54x

Combine like terms: 0.54x + -0.54x = 0.00
100 + -0.04x = -212 + 0.00
100 + -0.04x = -212

Add '-100' to each side of the equation.
100 + -100 + -0.04x = -212 + -100

Combine like terms: 100 + -100 = 0
0 + -0.04x = -212 + -100
-0.04x = -212 + -100

Combine like terms: -212 + -100 = -312
-0.04x = -312

Divide each side by '-0.04'.
x = 7800

Simplifying
x = 7800

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