5a=5(8a-[5a+(3a-3)])+4

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Solution for 5a=5(8a-[5a+(3a-3)])+4 equation:


Simplifying
5a = 5(8a + -1[5a + (3a + -3)]) + 4

Reorder the terms:
5a = 5(8a + -1[5a + (-3 + 3a)]) + 4

Remove parenthesis around (-3 + 3a)
5a = 5(8a + -1[5a + -3 + 3a]) + 4

Reorder the terms:
5a = 5(8a + -1[-3 + 5a + 3a]) + 4

Combine like terms: 5a + 3a = 8a
5a = 5(8a + -1[-3 + 8a]) + 4
5a = 5(8a + [-3 * -1 + 8a * -1]) + 4
5a = 5(8a + [3 + -8a]) + 4

Reorder the terms:
5a = 5(3 + 8a + -8a) + 4

Combine like terms: 8a + -8a = 0
5a = 5(3 + 0) + 4
5a = 5(3) + 4

Multiply 5 * 3
5a = 15 + 4

Combine like terms: 15 + 4 = 19
5a = 19

Solving
5a = 19

Solving for variable 'a'.

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

Divide each side by '5'.
a = 3.8

Simplifying
a = 3.8

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