2(3x+1)-4(3x+8)=20

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Solution for 2(3x+1)-4(3x+8)=20 equation: 


Simplifying
2(3x + 1) + -4(3x + 8) = 20

Reorder the terms:
2(1 + 3x) + -4(3x + 8) = 20
(1 * 2 + 3x * 2) + -4(3x + 8) = 20
(2 + 6x) + -4(3x + 8) = 20

Reorder the terms:
2 + 6x + -4(8 + 3x) = 20
2 + 6x + (8 * -4 + 3x * -4) = 20
2 + 6x + (-32 + -12x) = 20

Reorder the terms:
2 + -32 + 6x + -12x = 20

Combine like terms: 2 + -32 = -30
-30 + 6x + -12x = 20

Combine like terms: 6x + -12x = -6x
-30 + -6x = 20

Solving
-30 + -6x = 20

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -6x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + -6x = 20 + 30
-6x = 20 + 30

Combine like terms: 20 + 30 = 50
-6x = 50

Divide each side by '-6'.
x = -8.333333333

Simplifying
x = -8.333333333

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