38=8x+7+3x-2

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Solution for 38=8x+7+3x-2 equation:


Simplifying
38 = 8x + 7 + 3x + -2

Reorder the terms:
38 = 7 + -2 + 8x + 3x

Combine like terms: 7 + -2 = 5
38 = 5 + 8x + 3x

Combine like terms: 8x + 3x = 11x
38 = 5 + 11x

Solving
38 = 5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
38 + -11x = 5 + 11x + -11x

Combine like terms: 11x + -11x = 0
38 + -11x = 5 + 0
38 + -11x = 5

Add '-38' to each side of the equation.
38 + -38 + -11x = 5 + -38

Combine like terms: 38 + -38 = 0
0 + -11x = 5 + -38
-11x = 5 + -38

Combine like terms: 5 + -38 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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