6x+3.2-3.7x=.5x-6.7

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Solution for 6x+3.2-3.7x=.5x-6.7 equation: 


Simplifying
6x + 3.2 + -3.7x = 0.5x + -6.7

Reorder the terms:
3.2 + 6x + -3.7x = 0.5x + -6.7

Combine like terms: 6x + -3.7x = 2.3x
3.2 + 2.3x = 0.5x + -6.7

Reorder the terms:
3.2 + 2.3x = -6.7 + 0.5x

Solving
3.2 + 2.3x = -6.7 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
3.2 + 2.3x + -0.5x = -6.7 + 0.5x + -0.5x

Combine like terms: 2.3x + -0.5x = 1.8x
3.2 + 1.8x = -6.7 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
3.2 + 1.8x = -6.7 + 0.0
3.2 + 1.8x = -6.7

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1.8x = -6.7 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.8x = -6.7 + -3.2
1.8x = -6.7 + -3.2

Combine like terms: -6.7 + -3.2 = -9.9
1.8x = -9.9

Divide each side by '1.8'.
x = -5.5

Simplifying
x = -5.5

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