2(2x+8)=3(2x+4)

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Solution for 2(2x+8)=3(2x+4) equation: 


Simplifying
2(2x + 8) = 3(2x + 4)

Reorder the terms:
2(8 + 2x) = 3(2x + 4)
(8 * 2 + 2x * 2) = 3(2x + 4)
(16 + 4x) = 3(2x + 4)

Reorder the terms:
16 + 4x = 3(4 + 2x)
16 + 4x = (4 * 3 + 2x * 3)
16 + 4x = (12 + 6x)

Solving
16 + 4x = 12 + 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.
16 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
16 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -2x = 12 + 0
16 + -2x = 12

Add '-16' to each side of the equation.
16 + -16 + -2x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 12 + -16
-2x = 12 + -16

Combine like terms: 12 + -16 = -4
-2x = -4

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

Simplifying
x = 2

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