3[5-3(a-1)]=4(3-2a)

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Solution for 3[5-3(a-1)]=4(3-2a) equation:


Simplifying
3[5 + -3(a + -1)] = 4(3 + -2a)

Reorder the terms:
3[5 + -3(-1 + a)] = 4(3 + -2a)
3[5 + (-1 * -3 + a * -3)] = 4(3 + -2a)
3[5 + (3 + -3a)] = 4(3 + -2a)

Combine like terms: 5 + 3 = 8
3[8 + -3a] = 4(3 + -2a)
[8 * 3 + -3a * 3] = 4(3 + -2a)
[24 + -9a] = 4(3 + -2a)
24 + -9a = (3 * 4 + -2a * 4)
24 + -9a = (12 + -8a)

Solving
24 + -9a = 12 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
24 + -9a + 8a = 12 + -8a + 8a

Combine like terms: -9a + 8a = -1a
24 + -1a = 12 + -8a + 8a

Combine like terms: -8a + 8a = 0
24 + -1a = 12 + 0
24 + -1a = 12

Add '-24' to each side of the equation.
24 + -24 + -1a = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -1a = 12 + -24
-1a = 12 + -24

Combine like terms: 12 + -24 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12

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