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

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


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

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

Reorder the terms:
-12 + 6x = 4(4 + 2x)
-12 + 6x = (4 * 4 + 2x * 4)
-12 + 6x = (16 + 8x)

Solving
-12 + 6x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-12 + 6x + -8x = 16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-12 + -2x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -2x = 16 + 0
-12 + -2x = 16

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

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

Combine like terms: 16 + 12 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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