6(3x+1)=5x-8x

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Solution for 6(3x+1)=5x-8x equation:


Simplifying
6(3x + 1) = 5x + -8x

Reorder the terms:
6(1 + 3x) = 5x + -8x
(1 * 6 + 3x * 6) = 5x + -8x
(6 + 18x) = 5x + -8x

Combine like terms: 5x + -8x = -3x
6 + 18x = -3x

Solving
6 + 18x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 18x + 3x = -3x + 3x

Combine like terms: 18x + 3x = 21x
6 + 21x = -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 21x = 0

Add '-6' to each side of the equation.
6 + -6 + 21x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 21x = 0 + -6
21x = 0 + -6

Combine like terms: 0 + -6 = -6
21x = -6

Divide each side by '21'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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