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

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


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

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

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

Combine like terms: 6 + 3 = 9
9 + 3x = 2 + -1(1 + 3x)
9 + 3x = 2 + (1 * -1 + 3x * -1)
9 + 3x = 2 + (-1 + -3x)

Combine like terms: 2 + -1 = 1
9 + 3x = 1 + -3x

Solving
9 + 3x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 3x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
9 + 6x = 1 + 0
9 + 6x = 1

Add '-9' to each side of the equation.
9 + -9 + 6x = 1 + -9

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

Combine like terms: 1 + -9 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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