38-3(x-2)-2x=10-(x+1)+x

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Solution for 38-3(x-2)-2x=10-(x+1)+x equation: 


Simplifying
38 + -3(x + -2) + -2x = 10 + -1(x + 1) + x

Reorder the terms:
38 + -3(-2 + x) + -2x = 10 + -1(x + 1) + x
38 + (-2 * -3 + x * -3) + -2x = 10 + -1(x + 1) + x
38 + (6 + -3x) + -2x = 10 + -1(x + 1) + x

Combine like terms: 38 + 6 = 44
44 + -3x + -2x = 10 + -1(x + 1) + x

Combine like terms: -3x + -2x = -5x
44 + -5x = 10 + -1(x + 1) + x

Reorder the terms:
44 + -5x = 10 + -1(1 + x) + x
44 + -5x = 10 + (1 * -1 + x * -1) + x
44 + -5x = 10 + (-1 + -1x) + x

Combine like terms: 10 + -1 = 9
44 + -5x = 9 + -1x + x

Combine like terms: -1x + x = 0
44 + -5x = 9 + 0
44 + -5x = 9

Solving
44 + -5x = 9

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + -5x = 9 + -44

Combine like terms: 44 + -44 = 0
0 + -5x = 9 + -44
-5x = 9 + -44

Combine like terms: 9 + -44 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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