2(x-4)+38=-3x

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Solution for 2(x-4)+38=-3x equation: 


Simplifying
2(x + -4) + 38 = -3x

Reorder the terms:
2(-4 + x) + 38 = -3x
(-4 * 2 + x * 2) + 38 = -3x
(-8 + 2x) + 38 = -3x

Reorder the terms:
-8 + 38 + 2x = -3x

Combine like terms: -8 + 38 = 30
30 + 2x = -3x

Solving
30 + 2x = -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.
30 + 2x + 3x = -3x + 3x

Combine like terms: 2x + 3x = 5x
30 + 5x = -3x + 3x

Combine like terms: -3x + 3x = 0
30 + 5x = 0

Add '-30' to each side of the equation.
30 + -30 + 5x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 0 + -30
5x = 0 + -30

Combine like terms: 0 + -30 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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