(7-a)(5-3)+15=1

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Solution for (7-a)(5-3)+15=1 equation:


Simplifying
(7 + -1a)(5 + -3) + 15 = 1

Combine like terms: 5 + -3 = 2
(7 + -1a)(2) + 15 = 1

Reorder the terms for easier multiplication:
2(7 + -1a) + 15 = 1
(7 * 2 + -1a * 2) + 15 = 1
(14 + -2a) + 15 = 1

Reorder the terms:
14 + 15 + -2a = 1

Combine like terms: 14 + 15 = 29
29 + -2a = 1

Solving
29 + -2a = 1

Solving for variable 'a'.

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

Add '-29' to each side of the equation.
29 + -29 + -2a = 1 + -29

Combine like terms: 29 + -29 = 0
0 + -2a = 1 + -29
-2a = 1 + -29

Combine like terms: 1 + -29 = -28
-2a = -28

Divide each side by '-2'.
a = 14

Simplifying
a = 14

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