2x-4.5=.5(x+3)

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Solution for 2x-4.5=.5(x+3) equation: 


Simplifying
2x + -4.5 = 0.5(x + 3)

Reorder the terms:
-4.5 + 2x = 0.5(x + 3)

Reorder the terms:
-4.5 + 2x = 0.5(3 + x)
-4.5 + 2x = (3 * 0.5 + x * 0.5)
-4.5 + 2x = (1.5 + 0.5x)

Solving
-4.5 + 2x = 1.5 + 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.
-4.5 + 2x + -0.5x = 1.5 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
-4.5 + 1.5x = 1.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-4.5 + 1.5x = 1.5 + 0.0
-4.5 + 1.5x = 1.5

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.5x = 1.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.5x = 1.5 + 4.5
1.5x = 1.5 + 4.5

Combine like terms: 1.5 + 4.5 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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