2x+.5(x-4)=9

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Solution for 2x+.5(x-4)=9 equation:


Simplifying
2x + 0.5(x + -4) = 9

Reorder the terms:
2x + 0.5(-4 + x) = 9
2x + (-4 * 0.5 + x * 0.5) = 9
2x + (-2 + 0.5x) = 9

Reorder the terms:
-2 + 2x + 0.5x = 9

Combine like terms: 2x + 0.5x = 2.5x
-2 + 2.5x = 9

Solving
-2 + 2.5x = 9

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2.5x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 2.5x = 9 + 2
2.5x = 9 + 2

Combine like terms: 9 + 2 = 11
2.5x = 11

Divide each side by '2.5'.
x = 4.4

Simplifying
x = 4.4

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