2(x+5)=-3x-15

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Solution for 2(x+5)=-3x-15 equation:


Simplifying
2(x + 5) = -3x + -15

Reorder the terms:
2(5 + x) = -3x + -15
(5 * 2 + x * 2) = -3x + -15
(10 + 2x) = -3x + -15

Reorder the terms:
10 + 2x = -15 + -3x

Solving
10 + 2x = -15 + -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.
10 + 2x + 3x = -15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
10 + 5x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 5x = -15 + 0
10 + 5x = -15

Add '-10' to each side of the equation.
10 + -10 + 5x = -15 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = -15 + -10
5x = -15 + -10

Combine like terms: -15 + -10 = -25
5x = -25

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

Simplifying
x = -5

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