.4x+2.5=.2x-4

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Solution for .4x+2.5=.2x-4 equation: 


Simplifying
0.4x + 2.5 = 0.2x + -4

Reorder the terms:
2.5 + 0.4x = 0.2x + -4

Reorder the terms:
2.5 + 0.4x = -4 + 0.2x

Solving
2.5 + 0.4x = -4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
2.5 + 0.4x + -0.2x = -4 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
2.5 + 0.2x = -4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2.5 + 0.2x = -4 + 0.0
2.5 + 0.2x = -4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.2x = -4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.2x = -4 + -2.5
0.2x = -4 + -2.5

Combine like terms: -4 + -2.5 = -6.5
0.2x = -6.5

Divide each side by '0.2'.
x = -32.5

Simplifying
x = -32.5

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