13(9x+3)=3x+1

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Solution for 13(9x+3)=3x+1 equation:


Simplifying
13(9x + 3) = 3x + 1

Reorder the terms:
13(3 + 9x) = 3x + 1
(3 * 13 + 9x * 13) = 3x + 1
(39 + 117x) = 3x + 1

Reorder the terms:
39 + 117x = 1 + 3x

Solving
39 + 117x = 1 + 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.
39 + 117x + -3x = 1 + 3x + -3x

Combine like terms: 117x + -3x = 114x
39 + 114x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
39 + 114x = 1 + 0
39 + 114x = 1

Add '-39' to each side of the equation.
39 + -39 + 114x = 1 + -39

Combine like terms: 39 + -39 = 0
0 + 114x = 1 + -39
114x = 1 + -39

Combine like terms: 1 + -39 = -38
114x = -38

Divide each side by '114'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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