25(x+9)=14(2x+9)

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Solution for 25(x+9)=14(2x+9) equation:


Simplifying
25(x + 9) = 14(2x + 9)

Reorder the terms:
25(9 + x) = 14(2x + 9)
(9 * 25 + x * 25) = 14(2x + 9)
(225 + 25x) = 14(2x + 9)

Reorder the terms:
225 + 25x = 14(9 + 2x)
225 + 25x = (9 * 14 + 2x * 14)
225 + 25x = (126 + 28x)

Solving
225 + 25x = 126 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
225 + 25x + -28x = 126 + 28x + -28x

Combine like terms: 25x + -28x = -3x
225 + -3x = 126 + 28x + -28x

Combine like terms: 28x + -28x = 0
225 + -3x = 126 + 0
225 + -3x = 126

Add '-225' to each side of the equation.
225 + -225 + -3x = 126 + -225

Combine like terms: 225 + -225 = 0
0 + -3x = 126 + -225
-3x = 126 + -225

Combine like terms: 126 + -225 = -99
-3x = -99

Divide each side by '-3'.
x = 33

Simplifying
x = 33

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