2a+5=2(a+1)+7a+2

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Solution for 2a+5=2(a+1)+7a+2 equation:


Simplifying
2a + 5 = 2(a + 1) + 7a + 2

Reorder the terms:
5 + 2a = 2(a + 1) + 7a + 2

Reorder the terms:
5 + 2a = 2(1 + a) + 7a + 2
5 + 2a = (1 * 2 + a * 2) + 7a + 2
5 + 2a = (2 + 2a) + 7a + 2

Reorder the terms:
5 + 2a = 2 + 2 + 2a + 7a

Combine like terms: 2 + 2 = 4
5 + 2a = 4 + 2a + 7a

Combine like terms: 2a + 7a = 9a
5 + 2a = 4 + 9a

Solving
5 + 2a = 4 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
5 + 2a + -9a = 4 + 9a + -9a

Combine like terms: 2a + -9a = -7a
5 + -7a = 4 + 9a + -9a

Combine like terms: 9a + -9a = 0
5 + -7a = 4 + 0
5 + -7a = 4

Add '-5' to each side of the equation.
5 + -5 + -7a = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -7a = 4 + -5
-7a = 4 + -5

Combine like terms: 4 + -5 = -1
-7a = -1

Divide each side by '-7'.
a = 0.1428571429

Simplifying
a = 0.1428571429

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