0.5x+1.5=6x+0.2

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Solution for 0.5x+1.5=6x+0.2 equation: 


Simplifying
0.5x + 1.5 = 6x + 0.2

Reorder the terms:
1.5 + 0.5x = 6x + 0.2

Reorder the terms:
1.5 + 0.5x = 0.2 + 6x

Solving
1.5 + 0.5x = 0.2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1.5 + 0.5x + -6x = 0.2 + 6x + -6x

Combine like terms: 0.5x + -6x = -5.5x
1.5 + -5.5x = 0.2 + 6x + -6x

Combine like terms: 6x + -6x = 0
1.5 + -5.5x = 0.2 + 0
1.5 + -5.5x = 0.2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -5.5x = 0.2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -5.5x = 0.2 + -1.5
-5.5x = 0.2 + -1.5

Combine like terms: 0.2 + -1.5 = -1.3
-5.5x = -1.3

Divide each side by '-5.5'.
x = 0.2363636364

Simplifying
x = 0.2363636364

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