8x+(2x+6)+(3x-2)=26+(3x-1)+9

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Solution for 8x+(2x+6)+(3x-2)=26+(3x-1)+9 equation:


Simplifying
8x + (2x + 6) + (3x + -2) = 26 + (3x + -1) + 9

Reorder the terms:
8x + (6 + 2x) + (3x + -2) = 26 + (3x + -1) + 9

Remove parenthesis around (6 + 2x)
8x + 6 + 2x + (3x + -2) = 26 + (3x + -1) + 9

Reorder the terms:
8x + 6 + 2x + (-2 + 3x) = 26 + (3x + -1) + 9

Remove parenthesis around (-2 + 3x)
8x + 6 + 2x + -2 + 3x = 26 + (3x + -1) + 9

Reorder the terms:
6 + -2 + 8x + 2x + 3x = 26 + (3x + -1) + 9

Combine like terms: 6 + -2 = 4
4 + 8x + 2x + 3x = 26 + (3x + -1) + 9

Combine like terms: 8x + 2x = 10x
4 + 10x + 3x = 26 + (3x + -1) + 9

Combine like terms: 10x + 3x = 13x
4 + 13x = 26 + (3x + -1) + 9

Reorder the terms:
4 + 13x = 26 + (-1 + 3x) + 9

Remove parenthesis around (-1 + 3x)
4 + 13x = 26 + -1 + 3x + 9

Reorder the terms:
4 + 13x = 26 + -1 + 9 + 3x

Combine like terms: 26 + -1 = 25
4 + 13x = 25 + 9 + 3x

Combine like terms: 25 + 9 = 34
4 + 13x = 34 + 3x

Solving
4 + 13x = 34 + 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.
4 + 13x + -3x = 34 + 3x + -3x

Combine like terms: 13x + -3x = 10x
4 + 10x = 34 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 10x = 34 + 0
4 + 10x = 34

Add '-4' to each side of the equation.
4 + -4 + 10x = 34 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 34 + -4
10x = 34 + -4

Combine like terms: 34 + -4 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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