x+0.16(40)=0.4(40+x)

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Solution for x+0.16(40)=0.4(40+x) equation: 


Simplifying
x + 0.16(40) = 0.4(40 + x)

Multiply 0.16 * 40
x + 6.4 = 0.4(40 + x)

Reorder the terms:
6.4 + x = 0.4(40 + x)
6.4 + x = (40 * 0.4 + x * 0.4)
6.4 + x = (16 + 0.4x)

Solving
6.4 + x = 16 + 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.
6.4 + x + -0.4x = 16 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
6.4 + 0.6x = 16 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
6.4 + 0.6x = 16 + 0.0
6.4 + 0.6x = 16

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.6x = 16 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.6x = 16 + -6.4
0.6x = 16 + -6.4

Combine like terms: 16 + -6.4 = 9.6
0.6x = 9.6

Divide each side by '0.6'.
x = 16

Simplifying
x = 16

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