5(5-x)=4(x-5)

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


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

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

Solving
25 + -5x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + -5x + -4x = -20 + 4x + -4x

Combine like terms: -5x + -4x = -9x
25 + -9x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -9x = -20 + 0
25 + -9x = -20

Add '-25' to each side of the equation.
25 + -25 + -9x = -20 + -25

Combine like terms: 25 + -25 = 0
0 + -9x = -20 + -25
-9x = -20 + -25

Combine like terms: -20 + -25 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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