.2x+5=.7x-.4

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Solution for .2x+5=.7x-.4 equation: 


Simplifying
0.2x + 5 = 0.7x + -0.4

Reorder the terms:
5 + 0.2x = 0.7x + -0.4

Reorder the terms:
5 + 0.2x = -0.4 + 0.7x

Solving
5 + 0.2x = -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.
5 + 0.2x + -0.7x = -0.4 + 0.7x + -0.7x

Combine like terms: 0.2x + -0.7x = -0.5x
5 + -0.5x = -0.4 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
5 + -0.5x = -0.4 + 0.0
5 + -0.5x = -0.4

Add '-5' to each side of the equation.
5 + -5 + -0.5x = -0.4 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5x = -0.4 + -5
-0.5x = -0.4 + -5

Combine like terms: -0.4 + -5 = -5.4
-0.5x = -5.4

Divide each side by '-0.5'.
x = 10.8

Simplifying
x = 10.8

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