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

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


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

Reorder the terms:
2(-4 + 3x) = -1(4x + 6)
(-4 * 2 + 3x * 2) = -1(4x + 6)
(-8 + 6x) = -1(4x + 6)

Reorder the terms:
-8 + 6x = -1(6 + 4x)
-8 + 6x = (6 * -1 + 4x * -1)
-8 + 6x = (-6 + -4x)

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

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

Combine like terms: -4x + 4x = 0
-8 + 10x = -6 + 0
-8 + 10x = -6

Add '8' to each side of the equation.
-8 + 8 + 10x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = -6 + 8
10x = -6 + 8

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

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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