0.5(x+4)=3(x-1)

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Solution for 0.5(x+4)=3(x-1) equation: 


Simplifying
0.5(x + 4) = 3(x + -1)

Reorder the terms:
0.5(4 + x) = 3(x + -1)
(4 * 0.5 + x * 0.5) = 3(x + -1)
(2 + 0.5x) = 3(x + -1)

Reorder the terms:
2 + 0.5x = 3(-1 + x)
2 + 0.5x = (-1 * 3 + x * 3)
2 + 0.5x = (-3 + 3x)

Solving
2 + 0.5x = -3 + 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.
2 + 0.5x + -3x = -3 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
2 + -2.5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -2.5x = -3 + 0
2 + -2.5x = -3

Add '-2' to each side of the equation.
2 + -2 + -2.5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -2.5x = -3 + -2
-2.5x = -3 + -2

Combine like terms: -3 + -2 = -5
-2.5x = -5

Divide each side by '-2.5'.
x = 2

Simplifying
x = 2

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