3.1-0.5x=0.8(x-1)

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Solution for 3.1-0.5x=0.8(x-1) equation: 


Simplifying
3.1 + -0.5x = 0.8(x + -1)

Reorder the terms:
3.1 + -0.5x = 0.8(-1 + x)
3.1 + -0.5x = (-1 * 0.8 + x * 0.8)
3.1 + -0.5x = (-0.8 + 0.8x)

Solving
3.1 + -0.5x = -0.8 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
3.1 + -0.5x + -0.8x = -0.8 + 0.8x + -0.8x

Combine like terms: -0.5x + -0.8x = -1.3x
3.1 + -1.3x = -0.8 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
3.1 + -1.3x = -0.8 + 0.0
3.1 + -1.3x = -0.8

Add '-3.1' to each side of the equation.
3.1 + -3.1 + -1.3x = -0.8 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + -1.3x = -0.8 + -3.1
-1.3x = -0.8 + -3.1

Combine like terms: -0.8 + -3.1 = -3.9
-1.3x = -3.9

Divide each side by '-1.3'.
x = 3

Simplifying
x = 3

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