38=3(3x+1)-1

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


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

Reorder the terms:
38 = 3(1 + 3x) + -1
38 = (1 * 3 + 3x * 3) + -1
38 = (3 + 9x) + -1

Reorder the terms:
38 = 3 + -1 + 9x

Combine like terms: 3 + -1 = 2
38 = 2 + 9x

Solving
38 = 2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
38 + -9x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
38 + -9x = 2 + 0
38 + -9x = 2

Add '-38' to each side of the equation.
38 + -38 + -9x = 2 + -38

Combine like terms: 38 + -38 = 0
0 + -9x = 2 + -38
-9x = 2 + -38

Combine like terms: 2 + -38 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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