0.2(5-0.3x)=0.16x+0.208

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Solution for 0.2(5-0.3x)=0.16x+0.208 equation: 


Simplifying
0.2(5 + -0.3x) = 0.16x + 0.208
(5 * 0.2 + -0.3x * 0.2) = 0.16x + 0.208
(1 + -0.06x) = 0.16x + 0.208

Reorder the terms:
1 + -0.06x = 0.208 + 0.16x

Solving
1 + -0.06x = 0.208 + 0.16x

Solving for variable 'x'.

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

Add '-0.16x' to each side of the equation.
1 + -0.06x + -0.16x = 0.208 + 0.16x + -0.16x

Combine like terms: -0.06x + -0.16x = -0.22x
1 + -0.22x = 0.208 + 0.16x + -0.16x

Combine like terms: 0.16x + -0.16x = 0.00
1 + -0.22x = 0.208 + 0.00
1 + -0.22x = 0.208

Add '-1' to each side of the equation.
1 + -1 + -0.22x = 0.208 + -1

Combine like terms: 1 + -1 = 0
0 + -0.22x = 0.208 + -1
-0.22x = 0.208 + -1

Combine like terms: 0.208 + -1 = -0.792
-0.22x = -0.792

Divide each side by '-0.22'.
x = 3.6

Simplifying
x = 3.6

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