6x+4.5=3x-8

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Solution for 6x+4.5=3x-8 equation:


Simplifying
6x + 4.5 = 3x + -8

Reorder the terms:
4.5 + 6x = 3x + -8

Reorder the terms:
4.5 + 6x = -8 + 3x

Solving
4.5 + 6x = -8 + 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 + 6x + -3x = -8 + 3x + -3x

Combine like terms: 6x + -3x = 3x
4.5 + 3x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4.5 + 3x = -8 + 0
4.5 + 3x = -8

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 3x = -8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3x = -8 + -4.5
3x = -8 + -4.5

Combine like terms: -8 + -4.5 = -12.5
3x = -12.5

Divide each side by '3'.
x = -4.166666667

Simplifying
x = -4.166666667

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