78(x-11)=0.2x+48.2

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Solution for 78(x-11)=0.2x+48.2 equation:


Simplifying
78(x + -11) = 0.2x + 48.2

Reorder the terms:
78(-11 + x) = 0.2x + 48.2
(-11 * 78 + x * 78) = 0.2x + 48.2
(-858 + 78x) = 0.2x + 48.2

Reorder the terms:
-858 + 78x = 48.2 + 0.2x

Solving
-858 + 78x = 48.2 + 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.
-858 + 78x + -0.2x = 48.2 + 0.2x + -0.2x

Combine like terms: 78x + -0.2x = 77.8x
-858 + 77.8x = 48.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-858 + 77.8x = 48.2 + 0.0
-858 + 77.8x = 48.2

Add '858' to each side of the equation.
-858 + 858 + 77.8x = 48.2 + 858

Combine like terms: -858 + 858 = 0
0 + 77.8x = 48.2 + 858
77.8x = 48.2 + 858

Combine like terms: 48.2 + 858 = 906.2
77.8x = 906.2

Divide each side by '77.8'.
x = 11.64781491

Simplifying
x = 11.64781491

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