16+0.08x=0.1(100+x)

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Solution for 16+0.08x=0.1(100+x) equation: 


Simplifying
16 + 0.08x = 0.1(100 + x)
16 + 0.08x = (100 * 0.1 + x * 0.1)
16 + 0.08x = (10 + 0.1x)

Solving
16 + 0.08x = 10 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
16 + 0.08x + -0.1x = 10 + 0.1x + -0.1x

Combine like terms: 0.08x + -0.1x = -0.02x
16 + -0.02x = 10 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
16 + -0.02x = 10 + 0.0
16 + -0.02x = 10

Add '-16' to each side of the equation.
16 + -16 + -0.02x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -0.02x = 10 + -16
-0.02x = 10 + -16

Combine like terms: 10 + -16 = -6
-0.02x = -6

Divide each side by '-0.02'.
x = 300

Simplifying
x = 300

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