0.333(a-2)=0.5(a+20)

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Solution for 0.333(a-2)=0.5(a+20) equation:


Simplifying
0.333(a + -2) = 0.5(a + 20)

Reorder the terms:
0.333(-2 + a) = 0.5(a + 20)
(-2 * 0.333 + a * 0.333) = 0.5(a + 20)
(-0.666 + 0.333a) = 0.5(a + 20)

Reorder the terms:
-0.666 + 0.333a = 0.5(20 + a)
-0.666 + 0.333a = (20 * 0.5 + a * 0.5)
-0.666 + 0.333a = (10 + 0.5a)

Solving
-0.666 + 0.333a = 10 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
-0.666 + 0.333a + -0.5a = 10 + 0.5a + -0.5a

Combine like terms: 0.333a + -0.5a = -0.167a
-0.666 + -0.167a = 10 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
-0.666 + -0.167a = 10 + 0.0
-0.666 + -0.167a = 10

Add '0.666' to each side of the equation.
-0.666 + 0.666 + -0.167a = 10 + 0.666

Combine like terms: -0.666 + 0.666 = 0.000
0.000 + -0.167a = 10 + 0.666
-0.167a = 10 + 0.666

Combine like terms: 10 + 0.666 = 10.666
-0.167a = 10.666

Divide each side by '-0.167'.
a = -63.86826347

Simplifying
a = -63.86826347

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