3(x+3)=-3(x+1)-5

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Solution for 3(x+3)=-3(x+1)-5 equation:


Simplifying
3(x + 3) = -3(x + 1) + -5

Reorder the terms:
3(3 + x) = -3(x + 1) + -5
(3 * 3 + x * 3) = -3(x + 1) + -5
(9 + 3x) = -3(x + 1) + -5

Reorder the terms:
9 + 3x = -3(1 + x) + -5
9 + 3x = (1 * -3 + x * -3) + -5
9 + 3x = (-3 + -3x) + -5

Reorder the terms:
9 + 3x = -3 + -5 + -3x

Combine like terms: -3 + -5 = -8
9 + 3x = -8 + -3x

Solving
9 + 3x = -8 + -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 = -8 + -3x + 3x

Combine like terms: 3x + 3x = 6x
9 + 6x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 6x = -8 + 0
9 + 6x = -8

Add '-9' to each side of the equation.
9 + -9 + 6x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -8 + -9
6x = -8 + -9

Combine like terms: -8 + -9 = -17
6x = -17

Divide each side by '6'.
x = -2.833333333

Simplifying
x = -2.833333333

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