3(2x+1)-4(3x)+1=0

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Solution for 3(2x+1)-4(3x)+1=0 equation:


Simplifying
3(2x + 1) + -4(3x) + 1 = 0

Reorder the terms:
3(1 + 2x) + -4(3x) + 1 = 0
(1 * 3 + 2x * 3) + -4(3x) + 1 = 0
(3 + 6x) + -4(3x) + 1 = 0

Remove parenthesis around (3x)
3 + 6x + -4 * 3x + 1 = 0

Multiply -4 * 3
3 + 6x + -12x + 1 = 0

Reorder the terms:
3 + 1 + 6x + -12x = 0

Combine like terms: 3 + 1 = 4
4 + 6x + -12x = 0

Combine like terms: 6x + -12x = -6x
4 + -6x = 0

Solving
4 + -6x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -6x = 0 + -4

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

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

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

Simplifying
x = 0.6666666667

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