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

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


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

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

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

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

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

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

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

Solving
5 + 3a = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 3a = 0 + -5

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

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

Divide each side by '3'.
a = -1.666666667

Simplifying
a = -1.666666667

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