5.8(x-4)=0.2x+24.8

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Solution for 5.8(x-4)=0.2x+24.8 equation: 


Simplifying
5.8(x + -4) = 0.2x + 24.8

Reorder the terms:
5.8(-4 + x) = 0.2x + 24.8
(-4 * 5.8 + x * 5.8) = 0.2x + 24.8
(-23.2 + 5.8x) = 0.2x + 24.8

Reorder the terms:
-23.2 + 5.8x = 24.8 + 0.2x

Solving
-23.2 + 5.8x = 24.8 + 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.
-23.2 + 5.8x + -0.2x = 24.8 + 0.2x + -0.2x

Combine like terms: 5.8x + -0.2x = 5.6x
-23.2 + 5.6x = 24.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-23.2 + 5.6x = 24.8 + 0.0
-23.2 + 5.6x = 24.8

Add '23.2' to each side of the equation.
-23.2 + 23.2 + 5.6x = 24.8 + 23.2

Combine like terms: -23.2 + 23.2 = 0.0
0.0 + 5.6x = 24.8 + 23.2
5.6x = 24.8 + 23.2

Combine like terms: 24.8 + 23.2 = 48
5.6x = 48

Divide each side by '5.6'.
x = 8.571428571

Simplifying
x = 8.571428571

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