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

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


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

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

Reorder the terms:
6 + 3x = 4 + 2(4 + 2x)
6 + 3x = 4 + (4 * 2 + 2x * 2)
6 + 3x = 4 + (8 + 4x)

Combine like terms: 4 + 8 = 12
6 + 3x = 12 + 4x

Solving
6 + 3x = 12 + 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.
6 + 3x + -4x = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 12 + 0
6 + -1x = 12

Add '-6' to each side of the equation.
6 + -6 + -1x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 12 + -6
-1x = 12 + -6

Combine like terms: 12 + -6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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