-2(3x+8)=3(4x-1)+2

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Solution for -2(3x+8)=3(4x-1)+2 equation:


Simplifying
-2(3x + 8) = 3(4x + -1) + 2

Reorder the terms:
-2(8 + 3x) = 3(4x + -1) + 2
(8 * -2 + 3x * -2) = 3(4x + -1) + 2
(-16 + -6x) = 3(4x + -1) + 2

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

Reorder the terms:
-16 + -6x = -3 + 2 + 12x

Combine like terms: -3 + 2 = -1
-16 + -6x = -1 + 12x

Solving
-16 + -6x = -1 + 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.
-16 + -6x + -12x = -1 + 12x + -12x

Combine like terms: -6x + -12x = -18x
-16 + -18x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
-16 + -18x = -1 + 0
-16 + -18x = -1

Add '16' to each side of the equation.
-16 + 16 + -18x = -1 + 16

Combine like terms: -16 + 16 = 0
0 + -18x = -1 + 16
-18x = -1 + 16

Combine like terms: -1 + 16 = 15
-18x = 15

Divide each side by '-18'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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