x+5=-3x-10

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Solution for x+5=-3x-10 equation:


Simplifying
x + 5 = -3x + -10

Reorder the terms:
5 + x = -3x + -10

Reorder the terms:
5 + x = -10 + -3x

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

Combine like terms: x + 3x = 4x
5 + 4x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 4x = -10 + 0
5 + 4x = -10

Add '-5' to each side of the equation.
5 + -5 + 4x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -10 + -5
4x = -10 + -5

Combine like terms: -10 + -5 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

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