x+0.5-6x=-2.8x+6

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Solution for x+0.5-6x=-2.8x+6 equation: 


Simplifying
x + 0.5 + -6x = -2.8x + 6

Reorder the terms:
0.5 + x + -6x = -2.8x + 6

Combine like terms: x + -6x = -5x
0.5 + -5x = -2.8x + 6

Reorder the terms:
0.5 + -5x = 6 + -2.8x

Solving
0.5 + -5x = 6 + -2.8x

Solving for variable 'x'.

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

Add '2.8x' to each side of the equation.
0.5 + -5x + 2.8x = 6 + -2.8x + 2.8x

Combine like terms: -5x + 2.8x = -2.2x
0.5 + -2.2x = 6 + -2.8x + 2.8x

Combine like terms: -2.8x + 2.8x = 0.0
0.5 + -2.2x = 6 + 0.0
0.5 + -2.2x = 6

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2.2x = 6 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2.2x = 6 + -0.5
-2.2x = 6 + -0.5

Combine like terms: 6 + -0.5 = 5.5
-2.2x = 5.5

Divide each side by '-2.2'.
x = -2.5

Simplifying
x = -2.5

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