x+0.16(20)=0.4(20+x)

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Solution for x+0.16(20)=0.4(20+x) equation: 


Simplifying
x + 0.16(20) = 0.4(20 + x)

Multiply 0.16 * 20
x + 3.2 = 0.4(20 + x)

Reorder the terms:
3.2 + x = 0.4(20 + x)
3.2 + x = (20 * 0.4 + x * 0.4)
3.2 + x = (8 + 0.4x)

Solving
3.2 + x = 8 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
3.2 + x + -0.4x = 8 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
3.2 + 0.6x = 8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
3.2 + 0.6x = 8 + 0.0
3.2 + 0.6x = 8

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.6x = 8 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.6x = 8 + -3.2
0.6x = 8 + -3.2

Combine like terms: 8 + -3.2 = 4.8
0.6x = 4.8

Divide each side by '0.6'.
x = 8

Simplifying
x = 8

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