2(2x+3)=6x-16

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Solution for 2(2x+3)=6x-16 equation:


Simplifying
2(2x + 3) = 6x + -16

Reorder the terms:
2(3 + 2x) = 6x + -16
(3 * 2 + 2x * 2) = 6x + -16
(6 + 4x) = 6x + -16

Reorder the terms:
6 + 4x = -16 + 6x

Solving
6 + 4x = -16 + 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.
6 + 4x + -6x = -16 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
6 + -2x = -16 + 0
6 + -2x = -16

Add '-6' to each side of the equation.
6 + -6 + -2x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -16 + -6
-2x = -16 + -6

Combine like terms: -16 + -6 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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