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

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Solution for 5a-(2a-3)+1=-2 equation:


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

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

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

Combine like terms: 3 + 1 = 4
4 + 5a + -2a = -2

Combine like terms: 5a + -2a = 3a
4 + 3a = -2

Solving
4 + 3a = -2

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 3a = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = -2 + -4
3a = -2 + -4

Combine like terms: -2 + -4 = -6
3a = -6

Divide each side by '3'.
a = -2

Simplifying
a = -2

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