0.2x+0.5=0.7x-5

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Solution for 0.2x+0.5=0.7x-5 equation: 


Simplifying
0.2x + 0.5 = 0.7x + -5

Reorder the terms:
0.5 + 0.2x = 0.7x + -5

Reorder the terms:
0.5 + 0.2x = -5 + 0.7x

Solving
0.5 + 0.2x = -5 + 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.
0.5 + 0.2x + -0.7x = -5 + 0.7x + -0.7x

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

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

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

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

Combine like terms: -5 + -0.5 = -5.5
-0.5x = -5.5

Divide each side by '-0.5'.
x = 11

Simplifying
x = 11

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