7(9-2)-3(2a-5)=9

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Solution for 7(9-2)-3(2a-5)=9 equation:


Simplifying
7(9 + -2) + -3(2a + -5) = 9

Combine like terms: 9 + -2 = 7
7(7) + -3(2a + -5) = 9

Multiply 7 * 7
49 + -3(2a + -5) = 9

Reorder the terms:
49 + -3(-5 + 2a) = 9
49 + (-5 * -3 + 2a * -3) = 9
49 + (15 + -6a) = 9

Combine like terms: 49 + 15 = 64
64 + -6a = 9

Solving
64 + -6a = 9

Solving for variable 'a'.

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

Add '-64' to each side of the equation.
64 + -64 + -6a = 9 + -64

Combine like terms: 64 + -64 = 0
0 + -6a = 9 + -64
-6a = 9 + -64

Combine like terms: 9 + -64 = -55
-6a = -55

Divide each side by '-6'.
a = 9.166666667

Simplifying
a = 9.166666667

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