9x-5=3(2x+6)

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Solution for 9x-5=3(2x+6) equation:


Simplifying
9x + -5 = 3(2x + 6)

Reorder the terms:
-5 + 9x = 3(2x + 6)

Reorder the terms:
-5 + 9x = 3(6 + 2x)
-5 + 9x = (6 * 3 + 2x * 3)
-5 + 9x = (18 + 6x)

Solving
-5 + 9x = 18 + 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.
-5 + 9x + -6x = 18 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-5 + 3x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 3x = 18 + 0
-5 + 3x = 18

Add '5' to each side of the equation.
-5 + 5 + 3x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 18 + 5
3x = 18 + 5

Combine like terms: 18 + 5 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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