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

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


Simplifying
0.5(4 + 3x) = 3x + -1(x + 0.5)
(4 * 0.5 + 3x * 0.5) = 3x + -1(x + 0.5)
(2 + 1.5x) = 3x + -1(x + 0.5)

Reorder the terms:
2 + 1.5x = 3x + -1(0.5 + x)
2 + 1.5x = 3x + (0.5 * -1 + x * -1)
2 + 1.5x = 3x + (-0.5 + -1x)

Reorder the terms:
2 + 1.5x = -0.5 + 3x + -1x

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

Solving
2 + 1.5x = -0.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 1.5x + -2x = -0.5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + -0.5x = -0.5 + 0
2 + -0.5x = -0.5

Add '-2' to each side of the equation.
2 + -2 + -0.5x = -0.5 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5x = -0.5 + -2
-0.5x = -0.5 + -2

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

Divide each side by '-0.5'.
x = 5

Simplifying
x = 5

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