38+6x-2(x-4)=2x+5

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Solution for 38+6x-2(x-4)=2x+5 equation: 


Simplifying
38 + 6x + -2(x + -4) = 2x + 5

Reorder the terms:
38 + 6x + -2(-4 + x) = 2x + 5
38 + 6x + (-4 * -2 + x * -2) = 2x + 5
38 + 6x + (8 + -2x) = 2x + 5

Reorder the terms:
38 + 8 + 6x + -2x = 2x + 5

Combine like terms: 38 + 8 = 46
46 + 6x + -2x = 2x + 5

Combine like terms: 6x + -2x = 4x
46 + 4x = 2x + 5

Reorder the terms:
46 + 4x = 5 + 2x

Solving
46 + 4x = 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.
46 + 4x + -2x = 5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
46 + 2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
46 + 2x = 5 + 0
46 + 2x = 5

Add '-46' to each side of the equation.
46 + -46 + 2x = 5 + -46

Combine like terms: 46 + -46 = 0
0 + 2x = 5 + -46
2x = 5 + -46

Combine like terms: 5 + -46 = -41
2x = -41

Divide each side by '2'.
x = -20.5

Simplifying
x = -20.5

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