.5(3x+1)=3(2-4x)+8

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Solution for .5(3x+1)=3(2-4x)+8 equation: 


Simplifying
0.5(3x + 1) = 3(2 + -4x) + 8

Reorder the terms:
0.5(1 + 3x) = 3(2 + -4x) + 8
(1 * 0.5 + 3x * 0.5) = 3(2 + -4x) + 8
(0.5 + 1.5x) = 3(2 + -4x) + 8
0.5 + 1.5x = (2 * 3 + -4x * 3) + 8
0.5 + 1.5x = (6 + -12x) + 8

Reorder the terms:
0.5 + 1.5x = 6 + 8 + -12x

Combine like terms: 6 + 8 = 14
0.5 + 1.5x = 14 + -12x

Solving
0.5 + 1.5x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
0.5 + 1.5x + 12x = 14 + -12x + 12x

Combine like terms: 1.5x + 12x = 13.5x
0.5 + 13.5x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
0.5 + 13.5x = 14 + 0
0.5 + 13.5x = 14

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 13.5x = 14 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 13.5x = 14 + -0.5
13.5x = 14 + -0.5

Combine like terms: 14 + -0.5 = 13.5
13.5x = 13.5

Divide each side by '13.5'.
x = 1

Simplifying
x = 1

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