5(4x+1)=3x-6x

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Solution for 5(4x+1)=3x-6x equation:


Simplifying
5(4x + 1) = 3x + -6x

Reorder the terms:
5(1 + 4x) = 3x + -6x
(1 * 5 + 4x * 5) = 3x + -6x
(5 + 20x) = 3x + -6x

Combine like terms: 3x + -6x = -3x
5 + 20x = -3x

Solving
5 + 20x = -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.
5 + 20x + 3x = -3x + 3x

Combine like terms: 20x + 3x = 23x
5 + 23x = -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 23x = 0

Add '-5' to each side of the equation.
5 + -5 + 23x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 23x = 0 + -5
23x = 0 + -5

Combine like terms: 0 + -5 = -5
23x = -5

Divide each side by '23'.
x = -0.2173913043

Simplifying
x = -0.2173913043

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