5(a+2)-3a-19=2(a-8)+7

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Solution for 5(a+2)-3a-19=2(a-8)+7 equation: 


Simplifying
5(a + 2) + -3a + -19 = 2(a + -8) + 7

Reorder the terms:
5(2 + a) + -3a + -19 = 2(a + -8) + 7
(2 * 5 + a * 5) + -3a + -19 = 2(a + -8) + 7
(10 + 5a) + -3a + -19 = 2(a + -8) + 7

Reorder the terms:
10 + -19 + 5a + -3a = 2(a + -8) + 7

Combine like terms: 10 + -19 = -9
-9 + 5a + -3a = 2(a + -8) + 7

Combine like terms: 5a + -3a = 2a
-9 + 2a = 2(a + -8) + 7

Reorder the terms:
-9 + 2a = 2(-8 + a) + 7
-9 + 2a = (-8 * 2 + a * 2) + 7
-9 + 2a = (-16 + 2a) + 7

Reorder the terms:
-9 + 2a = -16 + 7 + 2a

Combine like terms: -16 + 7 = -9
-9 + 2a = -9 + 2a

Add '9' to each side of the equation.
-9 + 9 + 2a = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
0 + 2a = -9 + 9 + 2a
2a = -9 + 9 + 2a

Combine like terms: -9 + 9 = 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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