0.40(80)+.10(x)=0.30(x+80)

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Solution for 0.40(80)+.10(x)=0.30(x+80) equation: 


Simplifying
0.40(80) + 0.10(x) = 0.30(x + 80)

Multiply 0.40 * 80
32 + 0.10(x) = 0.30(x + 80)

Reorder the terms:
32 + 0.10x = 0.30(80 + x)
32 + 0.10x = (80 * 0.30 + x * 0.30)
32 + 0.10x = (24 + 0.30x)

Solving
32 + 0.10x = 24 + 0.30x

Solving for variable 'x'.

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

Add '-0.30x' to each side of the equation.
32 + 0.10x + -0.30x = 24 + 0.30x + -0.30x

Combine like terms: 0.10x + -0.30x = -0.2x
32 + -0.2x = 24 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
32 + -0.2x = 24 + 0.00
32 + -0.2x = 24

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

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

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

Divide each side by '-0.2'.
x = 40

Simplifying
x = 40

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