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

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


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

Reorder the terms:
3(3 + x) = -5 + -2(x + -3)
(3 * 3 + x * 3) = -5 + -2(x + -3)
(9 + 3x) = -5 + -2(x + -3)

Reorder the terms:
9 + 3x = -5 + -2(-3 + x)
9 + 3x = -5 + (-3 * -2 + x * -2)
9 + 3x = -5 + (6 + -2x)

Combine like terms: -5 + 6 = 1
9 + 3x = 1 + -2x

Solving
9 + 3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 3x + 2x = 1 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 1 + 0
9 + 5x = 1

Add '-9' to each side of the equation.
9 + -9 + 5x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 1 + -9
5x = 1 + -9

Combine like terms: 1 + -9 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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