a*3+5*2-6(4)=4(4)+3(5)-3

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Solution for a*3+5*2-6(4)=4(4)+3(5)-3 equation: 


Simplifying
a * 3 + 5 * 2 + -6(4) = 4(4) + 3(5) + -3

Reorder the terms for easier multiplication:
3a + 5 * 2 + -6(4) = 4(4) + 3(5) + -3

Multiply 5 * 2
3a + 10 + -6(4) = 4(4) + 3(5) + -3

Multiply -6 * 4
3a + 10 + -24 = 4(4) + 3(5) + -3

Reorder the terms:
10 + -24 + 3a = 4(4) + 3(5) + -3

Combine like terms: 10 + -24 = -14
-14 + 3a = 4(4) + 3(5) + -3

Multiply 4 * 4
-14 + 3a = 16 + 3(5) + -3

Multiply 3 * 5
-14 + 3a = 16 + 15 + -3

Combine like terms: 16 + 15 = 31
-14 + 3a = 31 + -3

Combine like terms: 31 + -3 = 28
-14 + 3a = 28

Solving
-14 + 3a = 28

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 3a = 28 + 14

Combine like terms: -14 + 14 = 0
0 + 3a = 28 + 14
3a = 28 + 14

Combine like terms: 28 + 14 = 42
3a = 42

Divide each side by '3'.
a = 14

Simplifying
a = 14

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