2a+(a-7)=a+3

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Solution for 2a+(a-7)=a+3 equation:


Simplifying
2a + (a + -7) = a + 3

Reorder the terms:
2a + (-7 + a) = a + 3

Remove parenthesis around (-7 + a)
2a + -7 + a = a + 3

Reorder the terms:
-7 + 2a + a = a + 3

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

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

Solving
-7 + 3a = 3 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-7 + 3a + -1a = 3 + a + -1a

Combine like terms: 3a + -1a = 2a
-7 + 2a = 3 + a + -1a

Combine like terms: a + -1a = 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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