x+3=-1.5x-2

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Solution for x+3=-1.5x-2 equation:


Simplifying
x + 3 = -1.5x + -2

Reorder the terms:
3 + x = -1.5x + -2

Reorder the terms:
3 + x = -2 + -1.5x

Solving
3 + x = -2 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
3 + x + 1.5x = -2 + -1.5x + 1.5x

Combine like terms: x + 1.5x = 2.5x
3 + 2.5x = -2 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
3 + 2.5x = -2 + 0.0
3 + 2.5x = -2

Add '-3' to each side of the equation.
3 + -3 + 2.5x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 2.5x = -2 + -3
2.5x = -2 + -3

Combine like terms: -2 + -3 = -5
2.5x = -5

Divide each side by '2.5'.
x = -2

Simplifying
x = -2

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