4.5-x+0.5(x-3)=5x

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Solution for 4.5-x+0.5(x-3)=5x equation:


Simplifying
4.5 + -1x + 0.5(x + -3) = 5x

Reorder the terms:
4.5 + -1x + 0.5(-3 + x) = 5x
4.5 + -1x + (-3 * 0.5 + x * 0.5) = 5x
4.5 + -1x + (-1.5 + 0.5x) = 5x

Reorder the terms:
4.5 + -1.5 + -1x + 0.5x = 5x

Combine like terms: 4.5 + -1.5 = 3
3 + -1x + 0.5x = 5x

Combine like terms: -1x + 0.5x = -0.5x
3 + -0.5x = 5x

Solving
3 + -0.5x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -0.5x + -5x = 5x + -5x

Combine like terms: -0.5x + -5x = -5.5x
3 + -5.5x = 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -5.5x = 0

Add '-3' to each side of the equation.
3 + -3 + -5.5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5.5x = 0 + -3
-5.5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5.5x = -3

Divide each side by '-5.5'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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