2(2+x)+6=x+(2x+9)

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


Simplifying
2(2 + x) + 6 = x + (2x + 9)
(2 * 2 + x * 2) + 6 = x + (2x + 9)
(4 + 2x) + 6 = x + (2x + 9)

Reorder the terms:
4 + 6 + 2x = x + (2x + 9)

Combine like terms: 4 + 6 = 10
10 + 2x = x + (2x + 9)

Reorder the terms:
10 + 2x = x + (9 + 2x)

Remove parenthesis around (9 + 2x)
10 + 2x = x + 9 + 2x

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

Combine like terms: x + 2x = 3x
10 + 2x = 9 + 3x

Solving
10 + 2x = 9 + 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.
10 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 9 + 0
10 + -1x = 9

Add '-10' to each side of the equation.
10 + -10 + -1x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 9 + -10
-1x = 9 + -10

Combine like terms: 9 + -10 = -1
-1x = -1

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

Simplifying
x = 1

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