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

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


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

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

Reorder the terms:
8 + 2x = 3(4 + 2x)
8 + 2x = (4 * 3 + 2x * 3)
8 + 2x = (12 + 6x)

Solving
8 + 2x = 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.
8 + 2x + -6x = 12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
8 + -4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = 12 + 0
8 + -4x = 12

Add '-8' to each side of the equation.
8 + -8 + -4x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 12 + -8
-4x = 12 + -8

Combine like terms: 12 + -8 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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