3x-4.5=5x-18.5

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Solution for 3x-4.5=5x-18.5 equation: 


Simplifying
3x + -4.5 = 5x + -18.5

Reorder the terms:
-4.5 + 3x = 5x + -18.5

Reorder the terms:
-4.5 + 3x = -18.5 + 5x

Solving
-4.5 + 3x = -18.5 + 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.
-4.5 + 3x + -5x = -18.5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-4.5 + -2x = -18.5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4.5 + -2x = -18.5 + 0
-4.5 + -2x = -18.5

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -2x = -18.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -2x = -18.5 + 4.5
-2x = -18.5 + 4.5

Combine like terms: -18.5 + 4.5 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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