3(a+3)-8=2(a+2)+a-3

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Solution for 3(a+3)-8=2(a+2)+a-3 equation: 


Simplifying
3(a + 3) + -8 = 2(a + 2) + a + -3

Reorder the terms:
3(3 + a) + -8 = 2(a + 2) + a + -3
(3 * 3 + a * 3) + -8 = 2(a + 2) + a + -3
(9 + 3a) + -8 = 2(a + 2) + a + -3

Reorder the terms:
9 + -8 + 3a = 2(a + 2) + a + -3

Combine like terms: 9 + -8 = 1
1 + 3a = 2(a + 2) + a + -3

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

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

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

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

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

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

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

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

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

Combine like terms: 3a + -3a = 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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