(3x+1)=(6x-4)

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Solution for (3x+1)=(6x-4) equation:


Simplifying
(3x + 1) = (6x + -4)

Reorder the terms:
(1 + 3x) = (6x + -4)

Remove parenthesis around (1 + 3x)
1 + 3x = (6x + -4)

Reorder the terms:
1 + 3x = (-4 + 6x)

Remove parenthesis around (-4 + 6x)
1 + 3x = -4 + 6x

Solving
1 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 3x + -6x = -4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
1 + -3x = -4 + 0
1 + -3x = -4

Add '-1' to each side of the equation.
1 + -1 + -3x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -4 + -1
-3x = -4 + -1

Combine like terms: -4 + -1 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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