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

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Solution for 2(x-3)+4x=-2(3x+1) equation:


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

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

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

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

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

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

Combine like terms: -6x + 6x = 0
-6 + 12x = -2 + 0
-6 + 12x = -2

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

Combine like terms: -6 + 6 = 0
0 + 12x = -2 + 6
12x = -2 + 6

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

Divide each side by '12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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