.5(x+6)=1.5x-1

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Solution for .5(x+6)=1.5x-1 equation: 


Simplifying
0.5(x + 6) = 1.5x + -1

Reorder the terms:
0.5(6 + x) = 1.5x + -1
(6 * 0.5 + x * 0.5) = 1.5x + -1
(3 + 0.5x) = 1.5x + -1

Reorder the terms:
3 + 0.5x = -1 + 1.5x

Solving
3 + 0.5x = -1 + 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.
3 + 0.5x + -1.5x = -1 + 1.5x + -1.5x

Combine like terms: 0.5x + -1.5x = -1x
3 + -1x = -1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
3 + -1x = -1 + 0.0
3 + -1x = -1

Add '-3' to each side of the equation.
3 + -3 + -1x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -1 + -3
-1x = -1 + -3

Combine like terms: -1 + -3 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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