5(5+5x)=4(2x-5)

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Solution for 5(5+5x)=4(2x-5) equation:


Simplifying
5(5 + 5x) = 4(2x + -5)
(5 * 5 + 5x * 5) = 4(2x + -5)
(25 + 25x) = 4(2x + -5)

Reorder the terms:
25 + 25x = 4(-5 + 2x)
25 + 25x = (-5 * 4 + 2x * 4)
25 + 25x = (-20 + 8x)

Solving
25 + 25x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
25 + 25x + -8x = -20 + 8x + -8x

Combine like terms: 25x + -8x = 17x
25 + 17x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + 17x = -20 + 0
25 + 17x = -20

Add '-25' to each side of the equation.
25 + -25 + 17x = -20 + -25

Combine like terms: 25 + -25 = 0
0 + 17x = -20 + -25
17x = -20 + -25

Combine like terms: -20 + -25 = -45
17x = -45

Divide each side by '17'.
x = -2.647058824

Simplifying
x = -2.647058824

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