3x+(2x+6)=17+(8x+1)

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Solution for 3x+(2x+6)=17+(8x+1) equation:


Simplifying
3x + (2x + 6) = 17 + (8x + 1)

Reorder the terms:
3x + (6 + 2x) = 17 + (8x + 1)

Remove parenthesis around (6 + 2x)
3x + 6 + 2x = 17 + (8x + 1)

Reorder the terms:
6 + 3x + 2x = 17 + (8x + 1)

Combine like terms: 3x + 2x = 5x
6 + 5x = 17 + (8x + 1)

Reorder the terms:
6 + 5x = 17 + (1 + 8x)

Remove parenthesis around (1 + 8x)
6 + 5x = 17 + 1 + 8x

Combine like terms: 17 + 1 = 18
6 + 5x = 18 + 8x

Solving
6 + 5x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 5x + -8x = 18 + 8x + -8x

Combine like terms: 5x + -8x = -3x
6 + -3x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -3x = 18 + 0
6 + -3x = 18

Add '-6' to each side of the equation.
6 + -6 + -3x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 18 + -6
-3x = 18 + -6

Combine like terms: 18 + -6 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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