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

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


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

Reorder the terms:
5(1 + 5x) = -4(5x + -4)
(1 * 5 + 5x * 5) = -4(5x + -4)
(5 + 25x) = -4(5x + -4)

Reorder the terms:
5 + 25x = -4(-4 + 5x)
5 + 25x = (-4 * -4 + 5x * -4)
5 + 25x = (16 + -20x)

Solving
5 + 25x = 16 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
5 + 25x + 20x = 16 + -20x + 20x

Combine like terms: 25x + 20x = 45x
5 + 45x = 16 + -20x + 20x

Combine like terms: -20x + 20x = 0
5 + 45x = 16 + 0
5 + 45x = 16

Add '-5' to each side of the equation.
5 + -5 + 45x = 16 + -5

Combine like terms: 5 + -5 = 0
0 + 45x = 16 + -5
45x = 16 + -5

Combine like terms: 16 + -5 = 11
45x = 11

Divide each side by '45'.
x = 0.2444444444

Simplifying
x = 0.2444444444

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