0.5x+4.5=-3x+1

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Solution for 0.5x+4.5=-3x+1 equation: 


Simplifying
0.5x + 4.5 = -3x + 1

Reorder the terms:
4.5 + 0.5x = -3x + 1

Reorder the terms:
4.5 + 0.5x = 1 + -3x

Solving
4.5 + 0.5x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4.5 + 0.5x + 3x = 1 + -3x + 3x

Combine like terms: 0.5x + 3x = 3.5x
4.5 + 3.5x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
4.5 + 3.5x = 1 + 0
4.5 + 3.5x = 1

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 3.5x = 1 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3.5x = 1 + -4.5
3.5x = 1 + -4.5

Combine like terms: 1 + -4.5 = -3.5
3.5x = -3.5

Divide each side by '3.5'.
x = -1

Simplifying
x = -1

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