0.5x+2=5.25x-12.75

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Solution for 0.5x+2=5.25x-12.75 equation: 


Simplifying
0.5x + 2 = 5.25x + -12.75

Reorder the terms:
2 + 0.5x = 5.25x + -12.75

Reorder the terms:
2 + 0.5x = -12.75 + 5.25x

Solving
2 + 0.5x = -12.75 + 5.25x

Solving for variable 'x'.

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

Add '-5.25x' to each side of the equation.
2 + 0.5x + -5.25x = -12.75 + 5.25x + -5.25x

Combine like terms: 0.5x + -5.25x = -4.75x
2 + -4.75x = -12.75 + 5.25x + -5.25x

Combine like terms: 5.25x + -5.25x = 0.00
2 + -4.75x = -12.75 + 0.00
2 + -4.75x = -12.75

Add '-2' to each side of the equation.
2 + -2 + -4.75x = -12.75 + -2

Combine like terms: 2 + -2 = 0
0 + -4.75x = -12.75 + -2
-4.75x = -12.75 + -2

Combine like terms: -12.75 + -2 = -14.75
-4.75x = -14.75

Divide each side by '-4.75'.
x = 3.105263158

Simplifying
x = 3.105263158

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