3(x+2)=-5-3(x-3)

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Solution for 3(x+2)=-5-3(x-3) equation: 


Simplifying
3(x + 2) = -5 + -3(x + -3)

Reorder the terms:
3(2 + x) = -5 + -3(x + -3)
(2 * 3 + x * 3) = -5 + -3(x + -3)
(6 + 3x) = -5 + -3(x + -3)

Reorder the terms:
6 + 3x = -5 + -3(-3 + x)
6 + 3x = -5 + (-3 * -3 + x * -3)
6 + 3x = -5 + (9 + -3x)

Combine like terms: -5 + 9 = 4
6 + 3x = 4 + -3x

Solving
6 + 3x = 4 + -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.
6 + 3x + 3x = 4 + -3x + 3x

Combine like terms: 3x + 3x = 6x
6 + 6x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 6x = 4 + 0
6 + 6x = 4

Add '-6' to each side of the equation.
6 + -6 + 6x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 4 + -6
6x = 4 + -6

Combine like terms: 4 + -6 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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