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

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


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

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

Reorder the terms:
0.6 + 0.5x + -0.3x = 3x

Combine like terms: 0.5x + -0.3x = 0.2x
0.6 + 0.2x = 3x

Solving
0.6 + 0.2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.6 + 0.2x + -3x = 3x + -3x

Combine like terms: 0.2x + -3x = -2.8x
0.6 + -2.8x = 3x + -3x

Combine like terms: 3x + -3x = 0
0.6 + -2.8x = 0

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -2.8x = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -2.8x = 0 + -0.6
-2.8x = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-2.8x = -0.6

Divide each side by '-2.8'.
x = 0.2142857143

Simplifying
x = 0.2142857143

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