(2x+6)+(3x-9)=18

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Solution for (2x+6)+(3x-9)=18 equation:


Simplifying
(2x + 6) + (3x + -9) = 18

Reorder the terms:
(6 + 2x) + (3x + -9) = 18

Remove parenthesis around (6 + 2x)
6 + 2x + (3x + -9) = 18

Reorder the terms:
6 + 2x + (-9 + 3x) = 18

Remove parenthesis around (-9 + 3x)
6 + 2x + -9 + 3x = 18

Reorder the terms:
6 + -9 + 2x + 3x = 18

Combine like terms: 6 + -9 = -3
-3 + 2x + 3x = 18

Combine like terms: 2x + 3x = 5x
-3 + 5x = 18

Solving
-3 + 5x = 18

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 18 + 3
5x = 18 + 3

Combine like terms: 18 + 3 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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