5a-3(a-3)=2(3a-2)

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


Simplifying
5a + -3(a + -3) = 2(3a + -2)

Reorder the terms:
5a + -3(-3 + a) = 2(3a + -2)
5a + (-3 * -3 + a * -3) = 2(3a + -2)
5a + (9 + -3a) = 2(3a + -2)

Reorder the terms:
9 + 5a + -3a = 2(3a + -2)

Combine like terms: 5a + -3a = 2a
9 + 2a = 2(3a + -2)

Reorder the terms:
9 + 2a = 2(-2 + 3a)
9 + 2a = (-2 * 2 + 3a * 2)
9 + 2a = (-4 + 6a)

Solving
9 + 2a = -4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
9 + 2a + -6a = -4 + 6a + -6a

Combine like terms: 2a + -6a = -4a
9 + -4a = -4 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + -4a = -4 + 0
9 + -4a = -4

Add '-9' to each side of the equation.
9 + -9 + -4a = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -4a = -4 + -9
-4a = -4 + -9

Combine like terms: -4 + -9 = -13
-4a = -13

Divide each side by '-4'.
a = 3.25

Simplifying
a = 3.25

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