0.3(a+6)=5(a-2)

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Solution for 0.3(a+6)=5(a-2) equation:


Simplifying
0.3(a + 6) = 5(a + -2)

Reorder the terms:
0.3(6 + a) = 5(a + -2)
(6 * 0.3 + a * 0.3) = 5(a + -2)
(1.8 + 0.3a) = 5(a + -2)

Reorder the terms:
1.8 + 0.3a = 5(-2 + a)
1.8 + 0.3a = (-2 * 5 + a * 5)
1.8 + 0.3a = (-10 + 5a)

Solving
1.8 + 0.3a = -10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
1.8 + 0.3a + -5a = -10 + 5a + -5a

Combine like terms: 0.3a + -5a = -4.7a
1.8 + -4.7a = -10 + 5a + -5a

Combine like terms: 5a + -5a = 0
1.8 + -4.7a = -10 + 0
1.8 + -4.7a = -10

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -4.7a = -10 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -4.7a = -10 + -1.8
-4.7a = -10 + -1.8

Combine like terms: -10 + -1.8 = -11.8
-4.7a = -11.8

Divide each side by '-4.7'.
a = 2.510638298

Simplifying
a = 2.510638298

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