5(4x+1)=4x-9x

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Solution for 5(4x+1)=4x-9x equation:


Simplifying
5(4x + 1) = 4x + -9x

Reorder the terms:
5(1 + 4x) = 4x + -9x
(1 * 5 + 4x * 5) = 4x + -9x
(5 + 20x) = 4x + -9x

Combine like terms: 4x + -9x = -5x
5 + 20x = -5x

Solving
5 + 20x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + 20x + 5x = -5x + 5x

Combine like terms: 20x + 5x = 25x
5 + 25x = -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 25x = 0

Add '-5' to each side of the equation.
5 + -5 + 25x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 25x = 0 + -5
25x = 0 + -5

Combine like terms: 0 + -5 = -5
25x = -5

Divide each side by '25'.
x = -0.2

Simplifying
x = -0.2

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