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

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


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

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

Combine like terms: 9x + x = 10x
-27 + 10x = 2x + 9

Reorder the terms:
-27 + 10x = 9 + 2x

Solving
-27 + 10x = 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 + 10x + -2x = 9 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-27 + 8x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 8x = 9 + 0
-27 + 8x = 9

Add '27' to each side of the equation.
-27 + 27 + 8x = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 8x = 9 + 27
8x = 9 + 27

Combine like terms: 9 + 27 = 36
8x = 36

Divide each side by '8'.
x = 4.5

Simplifying
x = 4.5

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