3.1x+6=1.5x-9

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Solution for 3.1x+6=1.5x-9 equation:


Simplifying
3.1x + 6 = 1.5x + -9

Reorder the terms:
6 + 3.1x = 1.5x + -9

Reorder the terms:
6 + 3.1x = -9 + 1.5x

Solving
6 + 3.1x = -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.
6 + 3.1x + -1.5x = -9 + 1.5x + -1.5x

Combine like terms: 3.1x + -1.5x = 1.6x
6 + 1.6x = -9 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
6 + 1.6x = -9 + 0.0
6 + 1.6x = -9

Add '-6' to each side of the equation.
6 + -6 + 1.6x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 1.6x = -9 + -6
1.6x = -9 + -6

Combine like terms: -9 + -6 = -15
1.6x = -15

Divide each side by '1.6'.
x = -9.375

Simplifying
x = -9.375

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