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

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


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

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

Reorder the terms:
1 + 3x = 2 + 19 + -6x

Combine like terms: 2 + 19 = 21
1 + 3x = 21 + -6x

Solving
1 + 3x = 21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 3x + 6x = 21 + -6x + 6x

Combine like terms: 3x + 6x = 9x
1 + 9x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 9x = 21 + 0
1 + 9x = 21

Add '-1' to each side of the equation.
1 + -1 + 9x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 21 + -1
9x = 21 + -1

Combine like terms: 21 + -1 = 20
9x = 20

Divide each side by '9'.
x = 2.222222222

Simplifying
x = 2.222222222

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