.5x-3=-4x+5

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


Simplifying
0.5x + -3 = -4x + 5

Reorder the terms:
-3 + 0.5x = -4x + 5

Reorder the terms:
-3 + 0.5x = 5 + -4x

Solving
-3 + 0.5x = 5 + -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.
-3 + 0.5x + 4x = 5 + -4x + 4x

Combine like terms: 0.5x + 4x = 4.5x
-3 + 4.5x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 4.5x = 5 + 0
-3 + 4.5x = 5

Add '3' to each side of the equation.
-3 + 3 + 4.5x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 4.5x = 5 + 3
4.5x = 5 + 3

Combine like terms: 5 + 3 = 8
4.5x = 8

Divide each side by '4.5'.
x = 1.777777778

Simplifying
x = 1.777777778

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