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

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


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

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

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

Solving
-2 + 6x = -8 + -4x

Solving for variable 'x'.

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

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

Combine like terms: 6x + 4x = 10x
-2 + 10x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 10x = -8 + 0
-2 + 10x = -8

Add '2' to each side of the equation.
-2 + 2 + 10x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = -8 + 2
10x = -8 + 2

Combine like terms: -8 + 2 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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