2x+5=-3(x+3)-1

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Solution for 2x+5=-3(x+3)-1 equation:


Simplifying
2x + 5 = -3(x + 3) + -1

Reorder the terms:
5 + 2x = -3(x + 3) + -1

Reorder the terms:
5 + 2x = -3(3 + x) + -1
5 + 2x = (3 * -3 + x * -3) + -1
5 + 2x = (-9 + -3x) + -1

Reorder the terms:
5 + 2x = -9 + -1 + -3x

Combine like terms: -9 + -1 = -10
5 + 2x = -10 + -3x

Solving
5 + 2x = -10 + -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.
5 + 2x + 3x = -10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
5 + 5x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 5x = -10 + 0
5 + 5x = -10

Add '-5' to each side of the equation.
5 + -5 + 5x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -10 + -5
5x = -10 + -5

Combine like terms: -10 + -5 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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