0.1(80)=0.3(50+x)-0.5x

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Solution for 0.1(80)=0.3(50+x)-0.5x equation: 


Simplifying
0.1(80) = 0.3(50 + x) + -0.5x

Multiply 0.1 * 80
8 = 0.3(50 + x) + -0.5x
8 = (50 * 0.3 + x * 0.3) + -0.5x
8 = (15 + 0.3x) + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
8 = 15 + -0.2x

Solving
8 = 15 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
8 + 0.2x = 15 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
8 + 0.2x = 15 + 0.0
8 + 0.2x = 15

Add '-8' to each side of the equation.
8 + -8 + 0.2x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 0.2x = 15 + -8
0.2x = 15 + -8

Combine like terms: 15 + -8 = 7
0.2x = 7

Divide each side by '0.2'.
x = 35

Simplifying
x = 35

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