.1x-4.5=.5(x-5)

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Solution for .1x-4.5=.5(x-5) equation: 


Simplifying
0.1x + -4.5 = 0.5(x + -5)

Reorder the terms:
-4.5 + 0.1x = 0.5(x + -5)

Reorder the terms:
-4.5 + 0.1x = 0.5(-5 + x)
-4.5 + 0.1x = (-5 * 0.5 + x * 0.5)
-4.5 + 0.1x = (-2.5 + 0.5x)

Solving
-4.5 + 0.1x = -2.5 + 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 + 0.1x + -0.5x = -2.5 + 0.5x + -0.5x

Combine like terms: 0.1x + -0.5x = -0.4x
-4.5 + -0.4x = -2.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-4.5 + -0.4x = -2.5 + 0.0
-4.5 + -0.4x = -2.5

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -0.4x = -2.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -0.4x = -2.5 + 4.5
-0.4x = -2.5 + 4.5

Combine like terms: -2.5 + 4.5 = 2
-0.4x = 2

Divide each side by '-0.4'.
x = -5

Simplifying
x = -5

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