0.2(80)+0.8x=0.4(80+x)

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Solution for 0.2(80)+0.8x=0.4(80+x) equation: 


Simplifying
0.2(80) + 0.8x = 0.4(80 + x)

Multiply 0.2 * 80
16 + 0.8x = 0.4(80 + x)
16 + 0.8x = (80 * 0.4 + x * 0.4)
16 + 0.8x = (32 + 0.4x)

Solving
16 + 0.8x = 32 + 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.
16 + 0.8x + -0.4x = 32 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
16 + 0.4x = 32 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
16 + 0.4x = 32 + 0.0
16 + 0.4x = 32

Add '-16' to each side of the equation.
16 + -16 + 0.4x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 0.4x = 32 + -16
0.4x = 32 + -16

Combine like terms: 32 + -16 = 16
0.4x = 16

Divide each side by '0.4'.
x = 40

Simplifying
x = 40

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