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

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


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

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

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

Solving
-4 + 6x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 6x + -2x = 8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8

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

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

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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