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

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


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

Reorder the terms:
4(-4 + 3x) + 2 = -2(6x + 1)
(-4 * 4 + 3x * 4) + 2 = -2(6x + 1)
(-16 + 12x) + 2 = -2(6x + 1)

Reorder the terms:
-16 + 2 + 12x = -2(6x + 1)

Combine like terms: -16 + 2 = -14
-14 + 12x = -2(6x + 1)

Reorder the terms:
-14 + 12x = -2(1 + 6x)
-14 + 12x = (1 * -2 + 6x * -2)
-14 + 12x = (-2 + -12x)

Solving
-14 + 12x = -2 + -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.
-14 + 12x + 12x = -2 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-14 + 24x = -2 + -12x + 12x

Combine like terms: -12x + 12x = 0
-14 + 24x = -2 + 0
-14 + 24x = -2

Add '14' to each side of the equation.
-14 + 14 + 24x = -2 + 14

Combine like terms: -14 + 14 = 0
0 + 24x = -2 + 14
24x = -2 + 14

Combine like terms: -2 + 14 = 12
24x = 12

Divide each side by '24'.
x = 0.5

Simplifying
x = 0.5

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