3x+11=-1.5x-9

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Solution for 3x+11=-1.5x-9 equation:


Simplifying
3x + 11 = -1.5x + -9

Reorder the terms:
11 + 3x = -1.5x + -9

Reorder the terms:
11 + 3x = -9 + -1.5x

Solving
11 + 3x = -9 + -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.
11 + 3x + 1.5x = -9 + -1.5x + 1.5x

Combine like terms: 3x + 1.5x = 4.5x
11 + 4.5x = -9 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
11 + 4.5x = -9 + 0.0
11 + 4.5x = -9

Add '-11' to each side of the equation.
11 + -11 + 4.5x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 4.5x = -9 + -11
4.5x = -9 + -11

Combine like terms: -9 + -11 = -20
4.5x = -20

Divide each side by '4.5'.
x = -4.444444444

Simplifying
x = -4.444444444

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