1-3(a+2)=7+a

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Solution for 1-3(a+2)=7+a equation:


Simplifying
1 + -3(a + 2) = 7 + a

Reorder the terms:
1 + -3(2 + a) = 7 + a
1 + (2 * -3 + a * -3) = 7 + a
1 + (-6 + -3a) = 7 + a

Combine like terms: 1 + -6 = -5
-5 + -3a = 7 + a

Solving
-5 + -3a = 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.
-5 + -3a + -1a = 7 + a + -1a

Combine like terms: -3a + -1a = -4a
-5 + -4a = 7 + a + -1a

Combine like terms: a + -1a = 0
-5 + -4a = 7 + 0
-5 + -4a = 7

Add '5' to each side of the equation.
-5 + 5 + -4a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -4a = 7 + 5
-4a = 7 + 5

Combine like terms: 7 + 5 = 12
-4a = 12

Divide each side by '-4'.
a = -3

Simplifying
a = -3

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