0.8(0.2+0.04x)=0.1+0.042x

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Solution for 0.8(0.2+0.04x)=0.1+0.042x equation: 


Simplifying
0.8(0.2 + 0.04x) = 0.1 + 0.042x
(0.2 * 0.8 + 0.04x * 0.8) = 0.1 + 0.042x
(0.16 + 0.032x) = 0.1 + 0.042x

Solving
0.16 + 0.032x = 0.1 + 0.042x

Solving for variable 'x'.

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

Add '-0.042x' to each side of the equation.
0.16 + 0.032x + -0.042x = 0.1 + 0.042x + -0.042x

Combine like terms: 0.032x + -0.042x = -0.01x
0.16 + -0.01x = 0.1 + 0.042x + -0.042x

Combine like terms: 0.042x + -0.042x = 0.000
0.16 + -0.01x = 0.1 + 0.000
0.16 + -0.01x = 0.1

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -0.01x = 0.1 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.01x = 0.1 + -0.16
-0.01x = 0.1 + -0.16

Combine like terms: 0.1 + -0.16 = -0.06
-0.01x = -0.06

Divide each side by '-0.01'.
x = 6

Simplifying
x = 6

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