a+2+(a-3)=a-(4a-14)

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Solution for a+2+(a-3)=a-(4a-14) equation:


Simplifying
a + 2 + (a + -3) = a + -1(4a + -14)

Reorder the terms:
a + 2 + (-3 + a) = a + -1(4a + -14)

Remove parenthesis around (-3 + a)
a + 2 + -3 + a = a + -1(4a + -14)

Reorder the terms:
2 + -3 + a + a = a + -1(4a + -14)

Combine like terms: 2 + -3 = -1
-1 + a + a = a + -1(4a + -14)

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

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

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

Combine like terms: a + -4a = -3a
-1 + 2a = 14 + -3a

Solving
-1 + 2a = 14 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-1 + 2a + 3a = 14 + -3a + 3a

Combine like terms: 2a + 3a = 5a
-1 + 5a = 14 + -3a + 3a

Combine like terms: -3a + 3a = 0
-1 + 5a = 14 + 0
-1 + 5a = 14

Add '1' to each side of the equation.
-1 + 1 + 5a = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 5a = 14 + 1
5a = 14 + 1

Combine like terms: 14 + 1 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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