0.3(80)+0.6x=0.4(80+x)

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Solution for 0.3(80)+0.6x=0.4(80+x) equation: 


Simplifying
0.3(80) + 0.6x = 0.4(80 + x)

Multiply 0.3 * 80
24 + 0.6x = 0.4(80 + x)
24 + 0.6x = (80 * 0.4 + x * 0.4)
24 + 0.6x = (32 + 0.4x)

Solving
24 + 0.6x = 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.
24 + 0.6x + -0.4x = 32 + 0.4x + -0.4x

Combine like terms: 0.6x + -0.4x = 0.2x
24 + 0.2x = 32 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
24 + 0.2x = 32 + 0.0
24 + 0.2x = 32

Add '-24' to each side of the equation.
24 + -24 + 0.2x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 0.2x = 32 + -24
0.2x = 32 + -24

Combine like terms: 32 + -24 = 8
0.2x = 8

Divide each side by '0.2'.
x = 40

Simplifying
x = 40

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