2(a-1)=3a+3

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


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

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

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

Solving
-2 + 2a = 3 + 3a

Solving for variable 'a'.

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -1a = 3 + 2

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

Combine like terms: 3 + 2 = 5
-1a = 5

Divide each side by '-1'.
a = -5

Simplifying
a = -5

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