5-3(3-2a)=12+8a

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Solution for 5-3(3-2a)=12+8a equation:


Simplifying
5 + -3(3 + -2a) = 12 + 8a
5 + (3 * -3 + -2a * -3) = 12 + 8a
5 + (-9 + 6a) = 12 + 8a

Combine like terms: 5 + -9 = -4
-4 + 6a = 12 + 8a

Solving
-4 + 6a = 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.
-4 + 6a + -8a = 12 + 8a + -8a

Combine like terms: 6a + -8a = -2a
-4 + -2a = 12 + 8a + -8a

Combine like terms: 8a + -8a = 0
-4 + -2a = 12 + 0
-4 + -2a = 12

Add '4' to each side of the equation.
-4 + 4 + -2a = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -2a = 12 + 4
-2a = 12 + 4

Combine like terms: 12 + 4 = 16
-2a = 16

Divide each side by '-2'.
a = -8

Simplifying
a = -8

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