25(4x+1)=9(10x+25)

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Solution for 25(4x+1)=9(10x+25) equation:


Simplifying
25(4x + 1) = 9(10x + 25)

Reorder the terms:
25(1 + 4x) = 9(10x + 25)
(1 * 25 + 4x * 25) = 9(10x + 25)
(25 + 100x) = 9(10x + 25)

Reorder the terms:
25 + 100x = 9(25 + 10x)
25 + 100x = (25 * 9 + 10x * 9)
25 + 100x = (225 + 90x)

Solving
25 + 100x = 225 + 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
25 + 100x + -90x = 225 + 90x + -90x

Combine like terms: 100x + -90x = 10x
25 + 10x = 225 + 90x + -90x

Combine like terms: 90x + -90x = 0
25 + 10x = 225 + 0
25 + 10x = 225

Add '-25' to each side of the equation.
25 + -25 + 10x = 225 + -25

Combine like terms: 25 + -25 = 0
0 + 10x = 225 + -25
10x = 225 + -25

Combine like terms: 225 + -25 = 200
10x = 200

Divide each side by '10'.
x = 20

Simplifying
x = 20

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