a-7=-3a+5

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


Simplifying
a + -7 = -3a + 5

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

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

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

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

Combine like terms: -3a + 3a = 0
-7 + 4a = 5 + 0
-7 + 4a = 5

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

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

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

Divide each side by '4'.
a = 3

Simplifying
a = 3

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