1.5(x+3)=1.5x-k

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


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

Reorder the terms:
1.5(3 + x) = 1.5x + -1k
(3 * 1.5 + x * 1.5) = 1.5x + -1k
(4.5 + 1.5x) = 1.5x + -1k

Reorder the terms:
4.5 + 1.5x = -1k + 1.5x

Add '-1.5x' to each side of the equation.
4.5 + 1.5x + -1.5x = -1k + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
4.5 + 0.0 = -1k + 1.5x + -1.5x
4.5 = -1k + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
4.5 = -1k + 0.0
4.5 = -1k

Solving
4.5 = -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
4.5 + k = -1k + k

Combine like terms: -1k + k = 0
4.5 + k = 0

Add '-4.5' to each side of the equation.
4.5 + -4.5 + k = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + k = 0 + -4.5
k = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
k = -4.5

Simplifying
k = -4.5

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