4.5+7.5x=-6.5+5.5x-10-5x

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Solution for 4.5+7.5x=-6.5+5.5x-10-5x equation: 


Simplifying
4.5 + 7.5x = -6.5 + 5.5x + -10 + -5x

Reorder the terms:
4.5 + 7.5x = -6.5 + -10 + 5.5x + -5x

Combine like terms: -6.5 + -10 = -16.5
4.5 + 7.5x = -16.5 + 5.5x + -5x

Combine like terms: 5.5x + -5x = 0.5x
4.5 + 7.5x = -16.5 + 0.5x

Solving
4.5 + 7.5x = -16.5 + 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 + 7.5x + -0.5x = -16.5 + 0.5x + -0.5x

Combine like terms: 7.5x + -0.5x = 7x
4.5 + 7x = -16.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
4.5 + 7x = -16.5 + 0.0
4.5 + 7x = -16.5

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 7x = -16.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 7x = -16.5 + -4.5
7x = -16.5 + -4.5

Combine like terms: -16.5 + -4.5 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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