4x+38=3(3x-1)+1

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Solution for 4x+38=3(3x-1)+1 equation:


Simplifying
4x + 38 = 3(3x + -1) + 1

Reorder the terms:
38 + 4x = 3(3x + -1) + 1

Reorder the terms:
38 + 4x = 3(-1 + 3x) + 1
38 + 4x = (-1 * 3 + 3x * 3) + 1
38 + 4x = (-3 + 9x) + 1

Reorder the terms:
38 + 4x = -3 + 1 + 9x

Combine like terms: -3 + 1 = -2
38 + 4x = -2 + 9x

Solving
38 + 4x = -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 + 4x + -9x = -2 + 9x + -9x

Combine like terms: 4x + -9x = -5x
38 + -5x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
38 + -5x = -2 + 0
38 + -5x = -2

Add '-38' to each side of the equation.
38 + -38 + -5x = -2 + -38

Combine like terms: 38 + -38 = 0
0 + -5x = -2 + -38
-5x = -2 + -38

Combine like terms: -2 + -38 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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