x-.5(x-3x)=1.5x-k

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Solution for x-.5(x-3x)=1.5x-k equation:


Simplifying
x + -0.5(x + -3x) = 1.5x + -1k

Combine like terms: x + -3x = -2x
x + -0.5(-2x) = 1.5x + -1k

Remove parenthesis around (-2x)
x + -0.5 * -2x = 1.5x + -1k

Multiply -0.5 * -2
x + 1x = 1.5x + -1k

Combine like terms: x + 1x = 2x
2x = 1.5x + -1k

Reorder the terms:
2x = -1k + 1.5x

Solving
2x = -1k + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
2x + -1.5x = -1k + 1.5x + -1.5x

Combine like terms: 2x + -1.5x = 0.5x
0.5x = -1k + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.5x = -1k + 0.0
0.5x = -1k

Divide each side by '0.5'.
x = -2k

Simplifying
x = -2k

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