3(a-4)=7(9-a)-3

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Solution for 3(a-4)=7(9-a)-3 equation:


Simplifying
3(a + -4) = 7(9 + -1a) + -3

Reorder the terms:
3(-4 + a) = 7(9 + -1a) + -3
(-4 * 3 + a * 3) = 7(9 + -1a) + -3
(-12 + 3a) = 7(9 + -1a) + -3
-12 + 3a = (9 * 7 + -1a * 7) + -3
-12 + 3a = (63 + -7a) + -3

Reorder the terms:
-12 + 3a = 63 + -3 + -7a

Combine like terms: 63 + -3 = 60
-12 + 3a = 60 + -7a

Solving
-12 + 3a = 60 + -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 + 3a + 7a = 60 + -7a + 7a

Combine like terms: 3a + 7a = 10a
-12 + 10a = 60 + -7a + 7a

Combine like terms: -7a + 7a = 0
-12 + 10a = 60 + 0
-12 + 10a = 60

Add '12' to each side of the equation.
-12 + 12 + 10a = 60 + 12

Combine like terms: -12 + 12 = 0
0 + 10a = 60 + 12
10a = 60 + 12

Combine like terms: 60 + 12 = 72
10a = 72

Divide each side by '10'.
a = 7.2

Simplifying
a = 7.2

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