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

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


Simplifying
2(9 + x) = 3(9 + x) + 2
(9 * 2 + x * 2) = 3(9 + x) + 2
(18 + 2x) = 3(9 + x) + 2
18 + 2x = (9 * 3 + x * 3) + 2
18 + 2x = (27 + 3x) + 2

Reorder the terms:
18 + 2x = 27 + 2 + 3x

Combine like terms: 27 + 2 = 29
18 + 2x = 29 + 3x

Solving
18 + 2x = 29 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 2x + -3x = 29 + 3x + -3x

Combine like terms: 2x + -3x = -1x
18 + -1x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -1x = 29 + 0
18 + -1x = 29

Add '-18' to each side of the equation.
18 + -18 + -1x = 29 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 29 + -18
-1x = 29 + -18

Combine like terms: 29 + -18 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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