(1*a)+(3*b)+(10*c)=705

Solution for (1*a)+(3*b)+(10*c)=705 equation:

Simplifying
(1a) + (3b) + (10c) = 705

Solving
(1a) + (3b) + (10c) = 705

Solving for variable 'a'.

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

Add '(-3b)' to each side of the equation.
(1a) + (3b) + (-3b) + (10c) = 705 + (-3b)

Combine like terms: (3b) + (-3b) = 0
(1a) + 0 + (10c) = 705 + (-3b)
(1a) + (10c) = 705 + (-3b)

Add '(-10c)' to each side of the equation.
(1a) + (10c) + (-10c) = 705 + (-3b) + (-10c)

Combine like terms: (10c) + (-10c) = 0
(1a) + 0 = 705 + (-3b) + (-10c)
(1a) = 705 + (-3b) + (-10c)

Divide each side by '1'.
a = 705 + (-3b) + (-10c)

Simplifying
a = 705 + (-3b) + (-10c)