.5x-2=3-4x

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Solution for .5x-2=3-4x equation:


Simplifying
0.5x + -2 = 3 + -4x

Reorder the terms:
-2 + 0.5x = 3 + -4x

Solving
-2 + 0.5x = 3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + 0.5x + 4x = 3 + -4x + 4x

Combine like terms: 0.5x + 4x = 4.5x
-2 + 4.5x = 3 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 4.5x = 3 + 0
-2 + 4.5x = 3

Add '2' to each side of the equation.
-2 + 2 + 4.5x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 4.5x = 3 + 2
4.5x = 3 + 2

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

Divide each side by '4.5'.
x = 1.111111111

Simplifying
x = 1.111111111

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