-3a+2=5a-3

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


Simplifying
-3a + 2 = 5a + -3

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

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

Solving
2 + -3a = -3 + 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.
2 + -3a + -5a = -3 + 5a + -5a

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

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

Add '-2' to each side of the equation.
2 + -2 + -8a = -3 + -2

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

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

Divide each side by '-8'.
a = 0.625

Simplifying
a = 0.625

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