5a+(-12-9a)=3-(7a+3)

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Solution for 5a+(-12-9a)=3-(7a+3) equation:


Simplifying
5a + (-12 + -9a) = 3 + -1(7a + 3)

Remove parenthesis around (-12 + -9a)
5a + -12 + -9a = 3 + -1(7a + 3)

Reorder the terms:
-12 + 5a + -9a = 3 + -1(7a + 3)

Combine like terms: 5a + -9a = -4a
-12 + -4a = 3 + -1(7a + 3)

Reorder the terms:
-12 + -4a = 3 + -1(3 + 7a)
-12 + -4a = 3 + (3 * -1 + 7a * -1)
-12 + -4a = 3 + (-3 + -7a)

Combine like terms: 3 + -3 = 0
-12 + -4a = 0 + -7a
-12 + -4a = -7a

Solving
-12 + -4a = -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.
-12 + -4a + 7a = -7a + 7a

Combine like terms: -4a + 7a = 3a
-12 + 3a = -7a + 7a

Combine like terms: -7a + 7a = 0
-12 + 3a = 0

Add '12' to each side of the equation.
-12 + 12 + 3a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3a = 0 + 12
3a = 0 + 12

Combine like terms: 0 + 12 = 12
3a = 12

Divide each side by '3'.
a = 4

Simplifying
a = 4

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