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

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


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

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

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

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

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

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

Combine like terms: 8 + 9 = 17
17 + 3x + 2x = (6x + -3)

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

Reorder the terms:
17 + 5x = (-3 + 6x)

Remove parenthesis around (-3 + 6x)
17 + 5x = -3 + 6x

Solving
17 + 5x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
17 + 5x + -6x = -3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
17 + -1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -1x = -3 + 0
17 + -1x = -3

Add '-17' to each side of the equation.
17 + -17 + -1x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -3 + -17
-1x = -3 + -17

Combine like terms: -3 + -17 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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