0.30(80+0.60x)=0.40(80+x)

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Solution for 0.30(80+0.60x)=0.40(80+x) equation: 


Simplifying
0.30(80 + 0.60x) = 0.40(80 + x)
(80 * 0.30 + 0.60x * 0.30) = 0.40(80 + x)
(24 + 0.18x) = 0.40(80 + x)
24 + 0.18x = (80 * 0.40 + x * 0.40)
24 + 0.18x = (32 + 0.40x)

Solving
24 + 0.18x = 32 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
24 + 0.18x + -0.40x = 32 + 0.40x + -0.40x

Combine like terms: 0.18x + -0.40x = -0.22x
24 + -0.22x = 32 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
24 + -0.22x = 32 + 0.00
24 + -0.22x = 32

Add '-24' to each side of the equation.
24 + -24 + -0.22x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + -0.22x = 32 + -24
-0.22x = 32 + -24

Combine like terms: 32 + -24 = 8
-0.22x = 8

Divide each side by '-0.22'.
x = -36.36363636

Simplifying
x = -36.36363636

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