a+(a-4)=(9+5)-(a+1)

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Solution for a+(a-4)=(9+5)-(a+1) equation:


Simplifying
a + (a + -4) = (9 + 5) + -1(a + 1)

Reorder the terms:
a + (-4 + a) = (9 + 5) + -1(a + 1)

Remove parenthesis around (-4 + a)
a + -4 + a = (9 + 5) + -1(a + 1)

Reorder the terms:
-4 + a + a = (9 + 5) + -1(a + 1)

Combine like terms: a + a = 2a
-4 + 2a = (9 + 5) + -1(a + 1)

Combine like terms: 9 + 5 = 14
-4 + 2a = (14) + -1(a + 1)
-4 + 2a = 14 + -1(a + 1)

Reorder the terms:
-4 + 2a = 14 + -1(1 + a)
-4 + 2a = 14 + (1 * -1 + a * -1)
-4 + 2a = 14 + (-1 + -1a)

Combine like terms: 14 + -1 = 13
-4 + 2a = 13 + -1a

Solving
-4 + 2a = 13 + -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.
-4 + 2a + a = 13 + -1a + a

Combine like terms: 2a + a = 3a
-4 + 3a = 13 + -1a + a

Combine like terms: -1a + a = 0
-4 + 3a = 13 + 0
-4 + 3a = 13

Add '4' to each side of the equation.
-4 + 4 + 3a = 13 + 4

Combine like terms: -4 + 4 = 0
0 + 3a = 13 + 4
3a = 13 + 4

Combine like terms: 13 + 4 = 17
3a = 17

Divide each side by '3'.
a = 5.666666667

Simplifying
a = 5.666666667

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