(38-2x)+(15x+4)=(16-5x)+(2x+2)

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Solution for (38-2x)+(15x+4)=(16-5x)+(2x+2) equation: 


Simplifying
(38 + -2x) + (15x + 4) = (16 + -5x) + (2x + 2)

Remove parenthesis around (38 + -2x)
38 + -2x + (15x + 4) = (16 + -5x) + (2x + 2)

Reorder the terms:
38 + -2x + (4 + 15x) = (16 + -5x) + (2x + 2)

Remove parenthesis around (4 + 15x)
38 + -2x + 4 + 15x = (16 + -5x) + (2x + 2)

Reorder the terms:
38 + 4 + -2x + 15x = (16 + -5x) + (2x + 2)

Combine like terms: 38 + 4 = 42
42 + -2x + 15x = (16 + -5x) + (2x + 2)

Combine like terms: -2x + 15x = 13x
42 + 13x = (16 + -5x) + (2x + 2)

Remove parenthesis around (16 + -5x)
42 + 13x = 16 + -5x + (2x + 2)

Reorder the terms:
42 + 13x = 16 + -5x + (2 + 2x)

Remove parenthesis around (2 + 2x)
42 + 13x = 16 + -5x + 2 + 2x

Reorder the terms:
42 + 13x = 16 + 2 + -5x + 2x

Combine like terms: 16 + 2 = 18
42 + 13x = 18 + -5x + 2x

Combine like terms: -5x + 2x = -3x
42 + 13x = 18 + -3x

Solving
42 + 13x = 18 + -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.
42 + 13x + 3x = 18 + -3x + 3x

Combine like terms: 13x + 3x = 16x
42 + 16x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
42 + 16x = 18 + 0
42 + 16x = 18

Add '-42' to each side of the equation.
42 + -42 + 16x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 16x = 18 + -42
16x = 18 + -42

Combine like terms: 18 + -42 = -24
16x = -24

Divide each side by '16'.
x = -1.5

Simplifying
x = -1.5

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