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

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


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

Reorder the terms:
4(3 + 2a) + 3(a + -3) = 5
(3 * 4 + 2a * 4) + 3(a + -3) = 5
(12 + 8a) + 3(a + -3) = 5

Reorder the terms:
12 + 8a + 3(-3 + a) = 5
12 + 8a + (-3 * 3 + a * 3) = 5
12 + 8a + (-9 + 3a) = 5

Reorder the terms:
12 + -9 + 8a + 3a = 5

Combine like terms: 12 + -9 = 3
3 + 8a + 3a = 5

Combine like terms: 8a + 3a = 11a
3 + 11a = 5

Solving
3 + 11a = 5

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 11a = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 11a = 5 + -3
11a = 5 + -3

Combine like terms: 5 + -3 = 2
11a = 2

Divide each side by '11'.
a = 0.1818181818

Simplifying
a = 0.1818181818

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