5(x+5)=-5(1+4x)+25

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Solution for 5(x+5)=-5(1+4x)+25 equation:


Simplifying
5(x + 5) = -5(1 + 4x) + 25

Reorder the terms:
5(5 + x) = -5(1 + 4x) + 25
(5 * 5 + x * 5) = -5(1 + 4x) + 25
(25 + 5x) = -5(1 + 4x) + 25
25 + 5x = (1 * -5 + 4x * -5) + 25
25 + 5x = (-5 + -20x) + 25

Reorder the terms:
25 + 5x = -5 + 25 + -20x

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

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

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

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

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

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

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

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

Simplifying
x = -0.2

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