.16(100)+1.00(x)=.50(100+x)

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Solution for .16(100)+1.00(x)=.50(100+x) equation: 


Simplifying
0.16(100) + 1.00(x) = 0.50(100 + x)

Multiply 0.16 * 100
16 + 1.00(x) = 0.50(100 + x)
16 + 1.00x = (100 * 0.50 + x * 0.50)
16 + 1.00x = (50 + 0.50x)

Solving
16 + 1.00x = 50 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
16 + 1.00x + -0.50x = 50 + 0.50x + -0.50x

Combine like terms: 1.00x + -0.50x = 0.5x
16 + 0.5x = 50 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
16 + 0.5x = 50 + 0.00
16 + 0.5x = 50

Add '-16' to each side of the equation.
16 + -16 + 0.5x = 50 + -16

Combine like terms: 16 + -16 = 0
0 + 0.5x = 50 + -16
0.5x = 50 + -16

Combine like terms: 50 + -16 = 34
0.5x = 34

Divide each side by '0.5'.
x = 68

Simplifying
x = 68

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