6a-3(4-5a)=30

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Solution for 6a-3(4-5a)=30 equation:


Simplifying
6a + -3(4 + -5a) = 30
6a + (4 * -3 + -5a * -3) = 30
6a + (-12 + 15a) = 30

Reorder the terms:
-12 + 6a + 15a = 30

Combine like terms: 6a + 15a = 21a
-12 + 21a = 30

Solving
-12 + 21a = 30

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 21a = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 21a = 30 + 12
21a = 30 + 12

Combine like terms: 30 + 12 = 42
21a = 42

Divide each side by '21'.
a = 2

Simplifying
a = 2

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