.6x+.2x(80)=.5(100+x)

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Solution for .6x+.2x(80)=.5(100+x) equation:


Simplifying
0.6x + 0.2x(80) = 0.5(100 + x)

Reorder the terms for easier multiplication:
0.6x + 0.2 * 80x = 0.5(100 + x)

Multiply 0.2 * 80
0.6x + 16x = 0.5(100 + x)

Combine like terms: 0.6x + 16x = 16.6x
16.6x = 0.5(100 + x)
16.6x = (100 * 0.5 + x * 0.5)
16.6x = (50 + 0.5x)

Solving
16.6x = 50 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
16.6x + -0.5x = 50 + 0.5x + -0.5x

Combine like terms: 16.6x + -0.5x = 16.1x
16.1x = 50 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
16.1x = 50 + 0.0
16.1x = 50

Divide each side by '16.1'.
x = 3.105590062

Simplifying
x = 3.105590062

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