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

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


Simplifying
(5a + -8) + -1(2a + 3) = 0

Reorder the terms:
(-8 + 5a) + -1(2a + 3) = 0

Remove parenthesis around (-8 + 5a)
-8 + 5a + -1(2a + 3) = 0

Reorder the terms:
-8 + 5a + -1(3 + 2a) = 0
-8 + 5a + (3 * -1 + 2a * -1) = 0
-8 + 5a + (-3 + -2a) = 0

Reorder the terms:
-8 + -3 + 5a + -2a = 0

Combine like terms: -8 + -3 = -11
-11 + 5a + -2a = 0

Combine like terms: 5a + -2a = 3a
-11 + 3a = 0

Solving
-11 + 3a = 0

Solving for variable 'a'.

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

Add '11' to each side of the equation.
-11 + 11 + 3a = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3a = 0 + 11
3a = 0 + 11

Combine like terms: 0 + 11 = 11
3a = 11

Divide each side by '3'.
a = 3.666666667

Simplifying
a = 3.666666667

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