12-2(a+1)=5+a

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Solution for 12-2(a+1)=5+a equation:


Simplifying
12 + -2(a + 1) = 5 + a

Reorder the terms:
12 + -2(1 + a) = 5 + a
12 + (1 * -2 + a * -2) = 5 + a
12 + (-2 + -2a) = 5 + a

Combine like terms: 12 + -2 = 10
10 + -2a = 5 + a

Solving
10 + -2a = 5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + -2a + -1a = 5 + a + -1a

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

Combine like terms: a + -1a = 0
10 + -3a = 5 + 0
10 + -3a = 5

Add '-10' to each side of the equation.
10 + -10 + -3a = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -3a = 5 + -10
-3a = 5 + -10

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

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667

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