5a+2=3a-1

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


Simplifying
5a + 2 = 3a + -1

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

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

Solving
2 + 5a = -1 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2 + 5a + -3a = -1 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
2 + 2a = -1 + 0
2 + 2a = -1

Add '-2' to each side of the equation.
2 + -2 + 2a = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 2a = -1 + -2
2a = -1 + -2

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

Divide each side by '2'.
a = -1.5

Simplifying
a = -1.5

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