(5x-1)+(x)=(12x+3)

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Solution for (5x-1)+(x)=(12x+3) equation:


Simplifying
(5x + -1) + (x) = (12x + 3)

Reorder the terms:
(-1 + 5x) + (x) = (12x + 3)

Remove parenthesis around (-1 + 5x)
-1 + 5x + (x) = (12x + 3)
-1 + 5x + x = (12x + 3)

Combine like terms: 5x + x = 6x
-1 + 6x = (12x + 3)

Reorder the terms:
-1 + 6x = (3 + 12x)

Remove parenthesis around (3 + 12x)
-1 + 6x = 3 + 12x

Solving
-1 + 6x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1 + 6x + -12x = 3 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
-1 + -6x = 3 + 0
-1 + -6x = 3

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

Combine like terms: -1 + 1 = 0
0 + -6x = 3 + 1
-6x = 3 + 1

Combine like terms: 3 + 1 = 4
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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