0.5x+0.8=0.7x-0.4

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Solution for 0.5x+0.8=0.7x-0.4 equation: 


Simplifying
0.5x + 0.8 = 0.7x + -0.4

Reorder the terms:
0.8 + 0.5x = 0.7x + -0.4

Reorder the terms:
0.8 + 0.5x = -0.4 + 0.7x

Solving
0.8 + 0.5x = -0.4 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
0.8 + 0.5x + -0.7x = -0.4 + 0.7x + -0.7x

Combine like terms: 0.5x + -0.7x = -0.2x
0.8 + -0.2x = -0.4 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
0.8 + -0.2x = -0.4 + 0.0
0.8 + -0.2x = -0.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.2x = -0.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.2x = -0.4 + -0.8
-0.2x = -0.4 + -0.8

Combine like terms: -0.4 + -0.8 = -1.2
-0.2x = -1.2

Divide each side by '-0.2'.
x = 6

Simplifying
x = 6

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