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))

Remove parenthesis around (3 + x)
3x = 0.5(3 + x + (12))
3x = 0.5(3 + x + 12)

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

Combine like terms: 3 + 12 = 15
3x = 0.5(15 + x)
3x = (15 * 0.5 + x * 0.5)
3x = (7.5 + 0.5x)

Solving
3x = 7.5 + 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 = 7.5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
2.5x = 7.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2.5x = 7.5 + 0.0
2.5x = 7.5

Divide each side by '2.5'.
x = 3

Simplifying
x = 3

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