3a+5=7a-7

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


Simplifying
3a + 5 = 7a + -7

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

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

Solving
5 + 3a = -7 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
5 + 3a + -7a = -7 + 7a + -7a

Combine like terms: 3a + -7a = -4a
5 + -4a = -7 + 7a + -7a

Combine like terms: 7a + -7a = 0
5 + -4a = -7 + 0
5 + -4a = -7

Add '-5' to each side of the equation.
5 + -5 + -4a = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = -7 + -5
-4a = -7 + -5

Combine like terms: -7 + -5 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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