3(a+1)-(20+a)=5(a-1)-3(a+4)

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Solution for 3(a+1)-(20+a)=5(a-1)-3(a+4) equation: 


Simplifying
3(a + 1) + -1(20 + a) = 5(a + -1) + -3(a + 4)

Reorder the terms:
3(1 + a) + -1(20 + a) = 5(a + -1) + -3(a + 4)
(1 * 3 + a * 3) + -1(20 + a) = 5(a + -1) + -3(a + 4)
(3 + 3a) + -1(20 + a) = 5(a + -1) + -3(a + 4)
3 + 3a + (20 * -1 + a * -1) = 5(a + -1) + -3(a + 4)
3 + 3a + (-20 + -1a) = 5(a + -1) + -3(a + 4)

Reorder the terms:
3 + -20 + 3a + -1a = 5(a + -1) + -3(a + 4)

Combine like terms: 3 + -20 = -17
-17 + 3a + -1a = 5(a + -1) + -3(a + 4)

Combine like terms: 3a + -1a = 2a
-17 + 2a = 5(a + -1) + -3(a + 4)

Reorder the terms:
-17 + 2a = 5(-1 + a) + -3(a + 4)
-17 + 2a = (-1 * 5 + a * 5) + -3(a + 4)
-17 + 2a = (-5 + 5a) + -3(a + 4)

Reorder the terms:
-17 + 2a = -5 + 5a + -3(4 + a)
-17 + 2a = -5 + 5a + (4 * -3 + a * -3)
-17 + 2a = -5 + 5a + (-12 + -3a)

Reorder the terms:
-17 + 2a = -5 + -12 + 5a + -3a

Combine like terms: -5 + -12 = -17
-17 + 2a = -17 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-17 + 2a = -17 + 2a

Add '17' to each side of the equation.
-17 + 17 + 2a = -17 + 17 + 2a

Combine like terms: -17 + 17 = 0
0 + 2a = -17 + 17 + 2a
2a = -17 + 17 + 2a

Combine like terms: -17 + 17 = 0
2a = 0 + 2a
2a = 2a

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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