(3x+8)=6x-9

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


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

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

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

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

Solving
8 + 3x = -9 + 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.
8 + 3x + -6x = -9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
8 + -3x = -9 + 0
8 + -3x = -9

Add '-8' to each side of the equation.
8 + -8 + -3x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -9 + -8
-3x = -9 + -8

Combine like terms: -9 + -8 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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