6.8(x-1)=0.2x+42.2

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Solution for 6.8(x-1)=0.2x+42.2 equation: 


Simplifying
6.8(x + -1) = 0.2x + 42.2

Reorder the terms:
6.8(-1 + x) = 0.2x + 42.2
(-1 * 6.8 + x * 6.8) = 0.2x + 42.2
(-6.8 + 6.8x) = 0.2x + 42.2

Reorder the terms:
-6.8 + 6.8x = 42.2 + 0.2x

Solving
-6.8 + 6.8x = 42.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-6.8 + 6.8x + -0.2x = 42.2 + 0.2x + -0.2x

Combine like terms: 6.8x + -0.2x = 6.6x
-6.8 + 6.6x = 42.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-6.8 + 6.6x = 42.2 + 0.0
-6.8 + 6.6x = 42.2

Add '6.8' to each side of the equation.
-6.8 + 6.8 + 6.6x = 42.2 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + 6.6x = 42.2 + 6.8
6.6x = 42.2 + 6.8

Combine like terms: 42.2 + 6.8 = 49
6.6x = 49

Divide each side by '6.6'.
x = 7.424242424

Simplifying
x = 7.424242424

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