.5(x+4)=-1.5(x-1)+2

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Solution for .5(x+4)=-1.5(x-1)+2 equation: 


Simplifying
0.5(x + 4) = -1.5(x + -1) + 2

Reorder the terms:
0.5(4 + x) = -1.5(x + -1) + 2
(4 * 0.5 + x * 0.5) = -1.5(x + -1) + 2
(2 + 0.5x) = -1.5(x + -1) + 2

Reorder the terms:
2 + 0.5x = -1.5(-1 + x) + 2
2 + 0.5x = (-1 * -1.5 + x * -1.5) + 2
2 + 0.5x = (1.5 + -1.5x) + 2

Reorder the terms:
2 + 0.5x = 1.5 + 2 + -1.5x

Combine like terms: 1.5 + 2 = 3.5
2 + 0.5x = 3.5 + -1.5x

Solving
2 + 0.5x = 3.5 + -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.
2 + 0.5x + 1.5x = 3.5 + -1.5x + 1.5x

Combine like terms: 0.5x + 1.5x = 2x
2 + 2x = 3.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
2 + 2x = 3.5 + 0.0
2 + 2x = 3.5

Add '-2' to each side of the equation.
2 + -2 + 2x = 3.5 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 3.5 + -2
2x = 3.5 + -2

Combine like terms: 3.5 + -2 = 1.5
2x = 1.5

Divide each side by '2'.
x = 0.75

Simplifying
x = 0.75

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