3-1(a+1)=7+a

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Solution for 3-1(a+1)=7+a equation: 


Simplifying
3 + -1(a + 1) = 7 + a

Reorder the terms:
3 + -1(1 + a) = 7 + a
3 + (1 * -1 + a * -1) = 7 + a
3 + (-1 + -1a) = 7 + a

Combine like terms: 3 + -1 = 2
2 + -1a = 7 + a

Solving
2 + -1a = 7 + 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.
2 + -1a + -1a = 7 + a + -1a

Combine like terms: -1a + -1a = -2a
2 + -2a = 7 + a + -1a

Combine like terms: a + -1a = 0
2 + -2a = 7 + 0
2 + -2a = 7

Add '-2' to each side of the equation.
2 + -2 + -2a = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -2a = 7 + -2
-2a = 7 + -2

Combine like terms: 7 + -2 = 5
-2a = 5

Divide each side by '-2'.
a = -2.5

Simplifying
a = -2.5

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