0.2(x+5)=0.0666666667(3x+15)

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Solution for 0.2(x+5)=0.0666666667(3x+15) equation:


Simplifying
0.2(x + 5) = 0.0666666667(3x + 15)

Reorder the terms:
0.2(5 + x) = 0.0666666667(3x + 15)
(5 * 0.2 + x * 0.2) = 0.0666666667(3x + 15)
(1 + 0.2x) = 0.0666666667(3x + 15)

Reorder the terms:
1 + 0.2x = 0.0666666667(15 + 3x)
1 + 0.2x = (15 * 0.0666666667 + 3x * 0.0666666667)
1 + 0.2x = (1.000000001 + 0.2000000001x)

Solving
1 + 0.2x = 1.000000001 + 0.2000000001x

Solving for variable 'x'.

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

Add '-0.2000000001x' to each side of the equation.
1 + 0.2x + -0.2000000001x = 1.000000001 + 0.2000000001x + -0.2000000001x

Combine like terms: 0.2x + -0.2000000001x = -0.0000000001x
1 + -0.0000000001x = 1.000000001 + 0.2000000001x + -0.2000000001x

Combine like terms: 0.2000000001x + -0.2000000001x = 0.0000000000
1 + -0.0000000001x = 1.000000001 + 0.0000000000
1 + -0.0000000001x = 1.000000001

Add '-1' to each side of the equation.
1 + -1 + -0.0000000001x = 1.000000001 + -1

Combine like terms: 1 + -1 = 0
0 + -0.0000000001x = 1.000000001 + -1
-0.0000000001x = 1.000000001 + -1

Combine like terms: 1.000000001 + -1 = 0.000000001
-0.0000000001x = 0.000000001

Divide each side by '-0.0000000001'.
x = -10

Simplifying
x = -10

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