5(x+5)=-20(x-4)

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Solution for 5(x+5)=-20(x-4) equation:


Simplifying
5(x + 5) = -20(x + -4)

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

Reorder the terms:
25 + 5x = -20(-4 + x)
25 + 5x = (-4 * -20 + x * -20)
25 + 5x = (80 + -20x)

Solving
25 + 5x = 80 + -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.
25 + 5x + 20x = 80 + -20x + 20x

Combine like terms: 5x + 20x = 25x
25 + 25x = 80 + -20x + 20x

Combine like terms: -20x + 20x = 0
25 + 25x = 80 + 0
25 + 25x = 80

Add '-25' to each side of the equation.
25 + -25 + 25x = 80 + -25

Combine like terms: 25 + -25 = 0
0 + 25x = 80 + -25
25x = 80 + -25

Combine like terms: 80 + -25 = 55
25x = 55

Divide each side by '25'.
x = 2.2

Simplifying
x = 2.2

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