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

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


Simplifying
3x + -1(4x + 2) = 2(x + 6)

Reorder the terms:
3x + -1(2 + 4x) = 2(x + 6)
3x + (2 * -1 + 4x * -1) = 2(x + 6)
3x + (-2 + -4x) = 2(x + 6)

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

Combine like terms: 3x + -4x = -1x
-2 + -1x = 2(x + 6)

Reorder the terms:
-2 + -1x = 2(6 + x)
-2 + -1x = (6 * 2 + x * 2)
-2 + -1x = (12 + 2x)

Solving
-2 + -1x = 12 + 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.
-2 + -1x + -2x = 12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 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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