(3x+1)=(15x-6)

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Solution for (3x+1)=(15x-6) equation:


Simplifying
(3x + 1) = (15x + -6)

Reorder the terms:
(1 + 3x) = (15x + -6)

Remove parenthesis around (1 + 3x)
1 + 3x = (15x + -6)

Reorder the terms:
1 + 3x = (-6 + 15x)

Remove parenthesis around (-6 + 15x)
1 + 3x = -6 + 15x

Solving
1 + 3x = -6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
1 + 3x + -15x = -6 + 15x + -15x

Combine like terms: 3x + -15x = -12x
1 + -12x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
1 + -12x = -6 + 0
1 + -12x = -6

Add '-1' to each side of the equation.
1 + -1 + -12x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -12x = -6 + -1
-12x = -6 + -1

Combine like terms: -6 + -1 = -7
-12x = -7

Divide each side by '-12'.
x = 0.5833333333

Simplifying
x = 0.5833333333

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