6x-2=3(x+4)

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Solution for 6x-2=3(x+4) equation:


Simplifying
6x + -2 = 3(x + 4)

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

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

Solving
-2 + 6x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 6x + -3x = 12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-2 + 3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 3x = 12 + 0
-2 + 3x = 12

Add '2' to each side of the equation.
-2 + 2 + 3x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 12 + 2
3x = 12 + 2

Combine like terms: 12 + 2 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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