66=x+(.5x+3)

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Solution for 66=x+(.5x+3) equation:


Simplifying
66 = x + (0.5x + 3)

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

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

Reorder the terms:
66 = 3 + x + 0.5x

Combine like terms: x + 0.5x = 1.5x
66 = 3 + 1.5x

Solving
66 = 3 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
66 + -1.5x = 3 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
66 + -1.5x = 3 + 0.0
66 + -1.5x = 3

Add '-66' to each side of the equation.
66 + -66 + -1.5x = 3 + -66

Combine like terms: 66 + -66 = 0
0 + -1.5x = 3 + -66
-1.5x = 3 + -66

Combine like terms: 3 + -66 = -63
-1.5x = -63

Divide each side by '-1.5'.
x = 42

Simplifying
x = 42

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