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

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Solution for -3(-4-2x)+1=6(2x-4) equation:


Simplifying
-3(-4 + -2x) + 1 = 6(2x + -4)
(-4 * -3 + -2x * -3) + 1 = 6(2x + -4)
(12 + 6x) + 1 = 6(2x + -4)

Reorder the terms:
12 + 1 + 6x = 6(2x + -4)

Combine like terms: 12 + 1 = 13
13 + 6x = 6(2x + -4)

Reorder the terms:
13 + 6x = 6(-4 + 2x)
13 + 6x = (-4 * 6 + 2x * 6)
13 + 6x = (-24 + 12x)

Solving
13 + 6x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
13 + 6x + -12x = -24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
13 + -6x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
13 + -6x = -24 + 0
13 + -6x = -24

Add '-13' to each side of the equation.
13 + -13 + -6x = -24 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -24 + -13
-6x = -24 + -13

Combine like terms: -24 + -13 = -37
-6x = -37

Divide each side by '-6'.
x = 6.166666667

Simplifying
x = 6.166666667

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