.5x-3=.3(2x-3)

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Solution for .5x-3=.3(2x-3) equation:


Simplifying
0.5x + -3 = 0.3(2x + -3)

Reorder the terms:
-3 + 0.5x = 0.3(2x + -3)

Reorder the terms:
-3 + 0.5x = 0.3(-3 + 2x)
-3 + 0.5x = (-3 * 0.3 + 2x * 0.3)
-3 + 0.5x = (-0.9 + 0.6x)

Solving
-3 + 0.5x = -0.9 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
-3 + 0.5x + -0.6x = -0.9 + 0.6x + -0.6x

Combine like terms: 0.5x + -0.6x = -0.1x
-3 + -0.1x = -0.9 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-3 + -0.1x = -0.9 + 0.0
-3 + -0.1x = -0.9

Add '3' to each side of the equation.
-3 + 3 + -0.1x = -0.9 + 3

Combine like terms: -3 + 3 = 0
0 + -0.1x = -0.9 + 3
-0.1x = -0.9 + 3

Combine like terms: -0.9 + 3 = 2.1
-0.1x = 2.1

Divide each side by '-0.1'.
x = -21

Simplifying
x = -21

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