9(x-3)=(2x+9)

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Solution for 9(x-3)=(2x+9) equation:


Simplifying
9(x + -3) = (2x + 9)

Reorder the terms:
9(-3 + x) = (2x + 9)
(-3 * 9 + x * 9) = (2x + 9)
(-27 + 9x) = (2x + 9)

Reorder the terms:
-27 + 9x = (9 + 2x)

Remove parenthesis around (9 + 2x)
-27 + 9x = 9 + 2x

Solving
-27 + 9x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + 9x + -2x = 9 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-27 + 7x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 7x = 9 + 0
-27 + 7x = 9

Add '27' to each side of the equation.
-27 + 27 + 7x = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = 9 + 27
7x = 9 + 27

Combine like terms: 9 + 27 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143

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