.2x-3=5x+30

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Solution for .2x-3=5x+30 equation:


Simplifying
0.2x + -3 = 5x + 30

Reorder the terms:
-3 + 0.2x = 5x + 30

Reorder the terms:
-3 + 0.2x = 30 + 5x

Solving
-3 + 0.2x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 0.2x + -5x = 30 + 5x + -5x

Combine like terms: 0.2x + -5x = -4.8x
-3 + -4.8x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -4.8x = 30 + 0
-3 + -4.8x = 30

Add '3' to each side of the equation.
-3 + 3 + -4.8x = 30 + 3

Combine like terms: -3 + 3 = 0
0 + -4.8x = 30 + 3
-4.8x = 30 + 3

Combine like terms: 30 + 3 = 33
-4.8x = 33

Divide each side by '-4.8'.
x = -6.875

Simplifying
x = -6.875

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