0.2x-5=2.7x-20

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Solution for 0.2x-5=2.7x-20 equation:


Simplifying
0.2x + -5 = 2.7x + -20

Reorder the terms:
-5 + 0.2x = 2.7x + -20

Reorder the terms:
-5 + 0.2x = -20 + 2.7x

Solving
-5 + 0.2x = -20 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
-5 + 0.2x + -2.7x = -20 + 2.7x + -2.7x

Combine like terms: 0.2x + -2.7x = -2.5x
-5 + -2.5x = -20 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
-5 + -2.5x = -20 + 0.0
-5 + -2.5x = -20

Add '5' to each side of the equation.
-5 + 5 + -2.5x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -2.5x = -20 + 5
-2.5x = -20 + 5

Combine like terms: -20 + 5 = -15
-2.5x = -15

Divide each side by '-2.5'.
x = 6

Simplifying
x = 6

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