(2a)(3)+(1)(5)=(7)(6)

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Solution for (2a)(3)+(1)(5)=(7)(6) equation:


Simplifying
(2a)(3) + (1)(5) = (7)(6)

Remove parenthesis around (2a)
2a(3) + (1)(5) = (7)(6)

Reorder the terms for easier multiplication:
2 * 3a + (1)(5) = (7)(6)

Multiply 2 * 3
6a + (1)(5) = (7)(6)

Multiply 1 * 5
6a + 5 = (7)(6)

Reorder the terms:
5 + 6a = (7)(6)

Multiply 7 * 6
5 + 6a = 42

Solving
5 + 6a = 42

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 6a = 42 + -5

Combine like terms: 5 + -5 = 0
0 + 6a = 42 + -5
6a = 42 + -5

Combine like terms: 42 + -5 = 37
6a = 37

Divide each side by '6'.
a = 6.166666667

Simplifying
a = 6.166666667

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