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

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


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

Reorder the terms:
6(1 + 3x) = 4x + -6x
(1 * 6 + 3x * 6) = 4x + -6x
(6 + 18x) = 4x + -6x

Combine like terms: 4x + -6x = -2x
6 + 18x = -2x

Solving
6 + 18x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 18x + 2x = -2x + 2x

Combine like terms: 18x + 2x = 20x
6 + 20x = -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 20x = 0

Add '-6' to each side of the equation.
6 + -6 + 20x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 20x = 0 + -6
20x = 0 + -6

Combine like terms: 0 + -6 = -6
20x = -6

Divide each side by '20'.
x = -0.3

Simplifying
x = -0.3

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