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

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


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

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

Reorder the terms:
-8 + 2x = 3(6 + 2x)
-8 + 2x = (6 * 3 + 2x * 3)
-8 + 2x = (18 + 6x)

Solving
-8 + 2x = 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.
-8 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-8 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -4x = 18 + 0
-8 + -4x = 18

Add '8' to each side of the equation.
-8 + 8 + -4x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 18 + 8
-4x = 18 + 8

Combine like terms: 18 + 8 = 26
-4x = 26

Divide each side by '-4'.
x = -6.5

Simplifying
x = -6.5

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