3x=0.5*(x+3)+12

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Solution for 3x=0.5*(x+3)+12 equation: 


Simplifying
3x = 0.5(x + 3) + 12

Reorder the terms:
3x = 0.5(3 + x) + 12
3x = (3 * 0.5 + x * 0.5) + 12
3x = (1.5 + 0.5x) + 12

Reorder the terms:
3x = 1.5 + 12 + 0.5x

Combine like terms: 1.5 + 12 = 13.5
3x = 13.5 + 0.5x

Solving
3x = 13.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
3x + -0.5x = 13.5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
2.5x = 13.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2.5x = 13.5 + 0.0
2.5x = 13.5

Divide each side by '2.5'.
x = 5.4

Simplifying
x = 5.4

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