(x-2)+(2x+9)=30

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Solution for (x-2)+(2x+9)=30 equation:


Simplifying
(x + -2) + (2x + 9) = 30

Reorder the terms:
(-2 + x) + (2x + 9) = 30

Remove parenthesis around (-2 + x)
-2 + x + (2x + 9) = 30

Reorder the terms:
-2 + x + (9 + 2x) = 30

Remove parenthesis around (9 + 2x)
-2 + x + 9 + 2x = 30

Reorder the terms:
-2 + 9 + x + 2x = 30

Combine like terms: -2 + 9 = 7
7 + x + 2x = 30

Combine like terms: x + 2x = 3x
7 + 3x = 30

Solving
7 + 3x = 30

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 30 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 30 + -7
3x = 30 + -7

Combine like terms: 30 + -7 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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