3a+7=5a-3

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Solution for 3a+7=5a-3 equation:


Simplifying
3a + 7 = 5a + -3

Reorder the terms:
7 + 3a = 5a + -3

Reorder the terms:
7 + 3a = -3 + 5a

Solving
7 + 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.
7 + 3a + -5a = -3 + 5a + -5a

Combine like terms: 3a + -5a = -2a
7 + -2a = -3 + 5a + -5a

Combine like terms: 5a + -5a = 0
7 + -2a = -3 + 0
7 + -2a = -3

Add '-7' to each side of the equation.
7 + -7 + -2a = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -2a = -3 + -7
-2a = -3 + -7

Combine like terms: -3 + -7 = -10
-2a = -10

Divide each side by '-2'.
a = 5

Simplifying
a = 5

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