0.5(6x+9)=16-(x-3)

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Solution for 0.5(6x+9)=16-(x-3) equation: 


Simplifying
0.5(6x + 9) = 16 + -1(x + -3)

Reorder the terms:
0.5(9 + 6x) = 16 + -1(x + -3)
(9 * 0.5 + 6x * 0.5) = 16 + -1(x + -3)
(4.5 + 3x) = 16 + -1(x + -3)

Reorder the terms:
4.5 + 3x = 16 + -1(-3 + x)
4.5 + 3x = 16 + (-3 * -1 + x * -1)
4.5 + 3x = 16 + (3 + -1x)

Combine like terms: 16 + 3 = 19
4.5 + 3x = 19 + -1x

Solving
4.5 + 3x = 19 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4.5 + 3x + x = 19 + -1x + x

Combine like terms: 3x + x = 4x
4.5 + 4x = 19 + -1x + x

Combine like terms: -1x + x = 0
4.5 + 4x = 19 + 0
4.5 + 4x = 19

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 4x = 19 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 4x = 19 + -4.5
4x = 19 + -4.5

Combine like terms: 19 + -4.5 = 14.5
4x = 14.5

Divide each side by '4'.
x = 3.625

Simplifying
x = 3.625

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