3(a-3)=2(a+4)

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Solution for 3(a-3)=2(a+4) equation:


Simplifying
3(a + -3) = 2(a + 4)

Reorder the terms:
3(-3 + a) = 2(a + 4)
(-3 * 3 + a * 3) = 2(a + 4)
(-9 + 3a) = 2(a + 4)

Reorder the terms:
-9 + 3a = 2(4 + a)
-9 + 3a = (4 * 2 + a * 2)
-9 + 3a = (8 + 2a)

Solving
-9 + 3a = 8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-9 + 3a + -2a = 8 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-9 + 1a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-9 + 1a = 8 + 0
-9 + 1a = 8

Add '9' to each side of the equation.
-9 + 9 + 1a = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 1a = 8 + 9
1a = 8 + 9

Combine like terms: 8 + 9 = 17
1a = 17

Divide each side by '1'.
a = 17

Simplifying
a = 17

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