.5*((3x-2)-(x+4))=34

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Solution for .5*((3x-2)-(x+4))=34 equation: 


Simplifying
0.5((3x + -2) + -1(x + 4)) = 34

Reorder the terms:
0.5((-2 + 3x) + -1(x + 4)) = 34

Remove parenthesis around (-2 + 3x)
0.5(-2 + 3x + -1(x + 4)) = 34

Reorder the terms:
0.5(-2 + 3x + -1(4 + x)) = 34
0.5(-2 + 3x + (4 * -1 + x * -1)) = 34
0.5(-2 + 3x + (-4 + -1x)) = 34

Reorder the terms:
0.5(-2 + -4 + 3x + -1x) = 34

Combine like terms: -2 + -4 = -6
0.5(-6 + 3x + -1x) = 34

Combine like terms: 3x + -1x = 2x
0.5(-6 + 2x) = 34
(-6 * 0.5 + 2x * 0.5) = 34
(-3 + 1x) = 34

Solving
-3 + 1x = 34

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 34 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 34 + 3
1x = 34 + 3

Combine like terms: 34 + 3 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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