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

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


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

Reorder the terms:
2(-8 + a) + 7 = (5(a + 2))
(-8 * 2 + a * 2) + 7 = (5(a + 2))
(-16 + 2a) + 7 = (5(a + 2))

Reorder the terms:
-16 + 7 + 2a = (5(a + 2))

Combine like terms: -16 + 7 = -9
-9 + 2a = (5(a + 2))

Reorder the terms:
-9 + 2a = (5(2 + a))
-9 + 2a = ((2 * 5 + a * 5))
-9 + 2a = ((10 + 5a))
-9 + 2a = (10 + 5a)

Remove parenthesis around (10 + 5a)
-9 + 2a = 10 + 5a

Solving
-9 + 2a = 10 + 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.
-9 + 2a + -5a = 10 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-9 + -3a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + -3a = 10 + 0
-9 + -3a = 10

Add '9' to each side of the equation.
-9 + 9 + -3a = 10 + 9

Combine like terms: -9 + 9 = 0
0 + -3a = 10 + 9
-3a = 10 + 9

Combine like terms: 10 + 9 = 19
-3a = 19

Divide each side by '-3'.
a = -6.333333333

Simplifying
a = -6.333333333

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