3(2x-4)=-2(5+2x)

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Solution for 3(2x-4)=-2(5+2x) equation:


Simplifying
3(2x + -4) = -2(5 + 2x)

Reorder the terms:
3(-4 + 2x) = -2(5 + 2x)
(-4 * 3 + 2x * 3) = -2(5 + 2x)
(-12 + 6x) = -2(5 + 2x)
-12 + 6x = (5 * -2 + 2x * -2)
-12 + 6x = (-10 + -4x)

Solving
-12 + 6x = -10 + -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.
-12 + 6x + 4x = -10 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-12 + 10x = -10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 10x = -10 + 0
-12 + 10x = -10

Add '12' to each side of the equation.
-12 + 12 + 10x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = -10 + 12
10x = -10 + 12

Combine like terms: -10 + 12 = 2
10x = 2

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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