(5a+4)=3(6+a)

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Solution for (5a+4)=3(6+a) equation:


Simplifying
(5a + 4) = 3(6 + a)

Reorder the terms:
(4 + 5a) = 3(6 + a)

Remove parenthesis around (4 + 5a)
4 + 5a = 3(6 + a)
4 + 5a = (6 * 3 + a * 3)
4 + 5a = (18 + 3a)

Solving
4 + 5a = 18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
4 + 5a + -3a = 18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
4 + 2a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
4 + 2a = 18 + 0
4 + 2a = 18

Add '-4' to each side of the equation.
4 + -4 + 2a = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 2a = 18 + -4
2a = 18 + -4

Combine like terms: 18 + -4 = 14
2a = 14

Divide each side by '2'.
a = 7

Simplifying
a = 7

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