4(3+2a)=5(a+2)

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Solution for 4(3+2a)=5(a+2) equation:


Simplifying
4(3 + 2a) = 5(a + 2)
(3 * 4 + 2a * 4) = 5(a + 2)
(12 + 8a) = 5(a + 2)

Reorder the terms:
12 + 8a = 5(2 + a)
12 + 8a = (2 * 5 + a * 5)
12 + 8a = (10 + 5a)

Solving
12 + 8a = 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.
12 + 8a + -5a = 10 + 5a + -5a

Combine like terms: 8a + -5a = 3a
12 + 3a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
12 + 3a = 10 + 0
12 + 3a = 10

Add '-12' to each side of the equation.
12 + -12 + 3a = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 3a = 10 + -12
3a = 10 + -12

Combine like terms: 10 + -12 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667

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