3(a+1)=2a-3

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Solution for 3(a+1)=2a-3 equation:


Simplifying
3(a + 1) = 2a + -3

Reorder the terms:
3(1 + a) = 2a + -3
(1 * 3 + a * 3) = 2a + -3
(3 + 3a) = 2a + -3

Reorder the terms:
3 + 3a = -3 + 2a

Solving
3 + 3a = -3 + 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.
3 + 3a + -2a = -3 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
3 + 1a = -3 + 0
3 + 1a = -3

Add '-3' to each side of the equation.
3 + -3 + 1a = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = -3 + -3
1a = -3 + -3

Combine like terms: -3 + -3 = -6
1a = -6

Divide each side by '1'.
a = -6

Simplifying
a = -6

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