x+3x+2(x+3)=7x+8-2x+9

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Solution for x+3x+2(x+3)=7x+8-2x+9 equation: 


Simplifying
x + 3x + 2(x + 3) = 7x + 8 + -2x + 9

Reorder the terms:
x + 3x + 2(3 + x) = 7x + 8 + -2x + 9
x + 3x + (3 * 2 + x * 2) = 7x + 8 + -2x + 9
x + 3x + (6 + 2x) = 7x + 8 + -2x + 9

Reorder the terms:
6 + x + 3x + 2x = 7x + 8 + -2x + 9

Combine like terms: x + 3x = 4x
6 + 4x + 2x = 7x + 8 + -2x + 9

Combine like terms: 4x + 2x = 6x
6 + 6x = 7x + 8 + -2x + 9

Reorder the terms:
6 + 6x = 8 + 9 + 7x + -2x

Combine like terms: 8 + 9 = 17
6 + 6x = 17 + 7x + -2x

Combine like terms: 7x + -2x = 5x
6 + 6x = 17 + 5x

Solving
6 + 6x = 17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = 17 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = 17 + 0
6 + 1x = 17

Add '-6' to each side of the equation.
6 + -6 + 1x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 17 + -6
1x = 17 + -6

Combine like terms: 17 + -6 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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