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

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


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

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

Reorder the terms:
-9 + 6x = 2(8 + 2x)
-9 + 6x = (8 * 2 + 2x * 2)
-9 + 6x = (16 + 4x)

Solving
-9 + 6x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = 16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 16 + 0
-9 + 2x = 16

Add '9' to each side of the equation.
-9 + 9 + 2x = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 16 + 9
2x = 16 + 9

Combine like terms: 16 + 9 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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