2(3x+1)-3(-4+1)=20x-19

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Solution for 2(3x+1)-3(-4+1)=20x-19 equation: 


Simplifying
2(3x + 1) + -3(-4 + 1) = 20x + -19

Reorder the terms:
2(1 + 3x) + -3(-4 + 1) = 20x + -19
(1 * 2 + 3x * 2) + -3(-4 + 1) = 20x + -19
(2 + 6x) + -3(-4 + 1) = 20x + -19

Combine like terms: -4 + 1 = -3
2 + 6x + -3(-3) = 20x + -19

Multiply -3 * -3
2 + 6x + 9 = 20x + -19

Reorder the terms:
2 + 9 + 6x = 20x + -19

Combine like terms: 2 + 9 = 11
11 + 6x = 20x + -19

Reorder the terms:
11 + 6x = -19 + 20x

Solving
11 + 6x = -19 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
11 + 6x + -20x = -19 + 20x + -20x

Combine like terms: 6x + -20x = -14x
11 + -14x = -19 + 20x + -20x

Combine like terms: 20x + -20x = 0
11 + -14x = -19 + 0
11 + -14x = -19

Add '-11' to each side of the equation.
11 + -11 + -14x = -19 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = -19 + -11
-14x = -19 + -11

Combine like terms: -19 + -11 = -30
-14x = -30

Divide each side by '-14'.
x = 2.142857143

Simplifying
x = 2.142857143

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