5a-4(a-3)=21

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Solution for 5a-4(a-3)=21 equation:


Simplifying
5a + -4(a + -3) = 21

Reorder the terms:
5a + -4(-3 + a) = 21
5a + (-3 * -4 + a * -4) = 21
5a + (12 + -4a) = 21

Reorder the terms:
12 + 5a + -4a = 21

Combine like terms: 5a + -4a = 1a
12 + 1a = 21

Solving
12 + 1a = 21

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 + 1a = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 1a = 21 + -12
1a = 21 + -12

Combine like terms: 21 + -12 = 9
1a = 9

Divide each side by '1'.
a = 9

Simplifying
a = 9

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