2-3(a-1)=10-(a+1)

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Solution for 2-3(a-1)=10-(a+1) equation:


Simplifying
2 + -3(a + -1) = 10 + -1(a + 1)

Reorder the terms:
2 + -3(-1 + a) = 10 + -1(a + 1)
2 + (-1 * -3 + a * -3) = 10 + -1(a + 1)
2 + (3 + -3a) = 10 + -1(a + 1)

Combine like terms: 2 + 3 = 5
5 + -3a = 10 + -1(a + 1)

Reorder the terms:
5 + -3a = 10 + -1(1 + a)
5 + -3a = 10 + (1 * -1 + a * -1)
5 + -3a = 10 + (-1 + -1a)

Combine like terms: 10 + -1 = 9
5 + -3a = 9 + -1a

Solving
5 + -3a = 9 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
5 + -3a + a = 9 + -1a + a

Combine like terms: -3a + a = -2a
5 + -2a = 9 + -1a + a

Combine like terms: -1a + a = 0
5 + -2a = 9 + 0
5 + -2a = 9

Add '-5' to each side of the equation.
5 + -5 + -2a = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -2a = 9 + -5
-2a = 9 + -5

Combine like terms: 9 + -5 = 4
-2a = 4

Divide each side by '-2'.
a = -2

Simplifying
a = -2

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