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

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


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

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

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

Solving
-3 + -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.
-3 + -6x + 4x = 8 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-3 + -2x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + -2x = 8 + 0
-3 + -2x = 8

Add '3' to each side of the equation.
-3 + 3 + -2x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 8 + 3
-2x = 8 + 3

Combine like terms: 8 + 3 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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