16.5-0.5x=3(2.5x+3)

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Solution for 16.5-0.5x=3(2.5x+3) equation:


Simplifying
16.5 + -0.5x = 3(2.5x + 3)

Reorder the terms:
16.5 + -0.5x = 3(3 + 2.5x)
16.5 + -0.5x = (3 * 3 + 2.5x * 3)
16.5 + -0.5x = (9 + 7.5x)

Solving
16.5 + -0.5x = 9 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
16.5 + -0.5x + -7.5x = 9 + 7.5x + -7.5x

Combine like terms: -0.5x + -7.5x = -8x
16.5 + -8x = 9 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
16.5 + -8x = 9 + 0.0
16.5 + -8x = 9

Add '-16.5' to each side of the equation.
16.5 + -16.5 + -8x = 9 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -8x = 9 + -16.5
-8x = 9 + -16.5

Combine like terms: 9 + -16.5 = -7.5
-8x = -7.5

Divide each side by '-8'.
x = 0.9375

Simplifying
x = 0.9375

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