a-3=2(a-1)

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


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

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

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

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

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

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

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

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

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

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

Simplifying
a = -1

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