2a+8+15a+7=2a+5+3a+7

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Solution for 2a+8+15a+7=2a+5+3a+7 equation: 


Simplifying
2a + 8 + 15a + 7 = 2a + 5 + 3a + 7

Reorder the terms:
8 + 7 + 2a + 15a = 2a + 5 + 3a + 7

Combine like terms: 8 + 7 = 15
15 + 2a + 15a = 2a + 5 + 3a + 7

Combine like terms: 2a + 15a = 17a
15 + 17a = 2a + 5 + 3a + 7

Reorder the terms:
15 + 17a = 5 + 7 + 2a + 3a

Combine like terms: 5 + 7 = 12
15 + 17a = 12 + 2a + 3a

Combine like terms: 2a + 3a = 5a
15 + 17a = 12 + 5a

Solving
15 + 17a = 12 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
15 + 17a + -5a = 12 + 5a + -5a

Combine like terms: 17a + -5a = 12a
15 + 12a = 12 + 5a + -5a

Combine like terms: 5a + -5a = 0
15 + 12a = 12 + 0
15 + 12a = 12

Add '-15' to each side of the equation.
15 + -15 + 12a = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 12a = 12 + -15
12a = 12 + -15

Combine like terms: 12 + -15 = -3
12a = -3

Divide each side by '12'.
a = -0.25

Simplifying
a = -0.25

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