-0.4x+0.5=-2.5x-5.8

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Solution for -0.4x+0.5=-2.5x-5.8 equation: 


Simplifying
-0.4x + 0.5 = -2.5x + -5.8

Reorder the terms:
0.5 + -0.4x = -2.5x + -5.8

Reorder the terms:
0.5 + -0.4x = -5.8 + -2.5x

Solving
0.5 + -0.4x = -5.8 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
0.5 + -0.4x + 2.5x = -5.8 + -2.5x + 2.5x

Combine like terms: -0.4x + 2.5x = 2.1x
0.5 + 2.1x = -5.8 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
0.5 + 2.1x = -5.8 + 0.0
0.5 + 2.1x = -5.8

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 2.1x = -5.8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 2.1x = -5.8 + -0.5
2.1x = -5.8 + -0.5

Combine like terms: -5.8 + -0.5 = -6.3
2.1x = -6.3

Divide each side by '2.1'.
x = -3

Simplifying
x = -3

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