.5x-5=.01(x+30)

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Solution for .5x-5=.01(x+30) equation:


Simplifying
0.5x + -5 = 0.01(x + 30)

Reorder the terms:
-5 + 0.5x = 0.01(x + 30)

Reorder the terms:
-5 + 0.5x = 0.01(30 + x)
-5 + 0.5x = (30 * 0.01 + x * 0.01)
-5 + 0.5x = (0.3 + 0.01x)

Solving
-5 + 0.5x = 0.3 + 0.01x

Solving for variable 'x'.

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

Add '-0.01x' to each side of the equation.
-5 + 0.5x + -0.01x = 0.3 + 0.01x + -0.01x

Combine like terms: 0.5x + -0.01x = 0.49x
-5 + 0.49x = 0.3 + 0.01x + -0.01x

Combine like terms: 0.01x + -0.01x = 0.00
-5 + 0.49x = 0.3 + 0.00
-5 + 0.49x = 0.3

Add '5' to each side of the equation.
-5 + 5 + 0.49x = 0.3 + 5

Combine like terms: -5 + 5 = 0
0 + 0.49x = 0.3 + 5
0.49x = 0.3 + 5

Combine like terms: 0.3 + 5 = 5.3
0.49x = 5.3

Divide each side by '0.49'.
x = 10.81632653

Simplifying
x = 10.81632653

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