6(c-10)+3(2c-7)=-45

Solution for 6(c-10)+3(2c-7)=-45 equation:

Simplifying
6(c + -10) + 3(2c + -7) = -45

Reorder the terms:
6(-10 + c) + 3(2c + -7) = -45
(-10 * 6 + c * 6) + 3(2c + -7) = -45
(-60 + 6c) + 3(2c + -7) = -45

Reorder the terms:
-60 + 6c + 3(-7 + 2c) = -45
-60 + 6c + (-7 * 3 + 2c * 3) = -45
-60 + 6c + (-21 + 6c) = -45

Reorder the terms:
-60 + -21 + 6c + 6c = -45

Combine like terms: -60 + -21 = -81
-81 + 6c + 6c = -45

Combine like terms: 6c + 6c = 12c
-81 + 12c = -45

Solving
-81 + 12c = -45

Solving for variable 'c'.

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

Add '81' to each side of the equation.
-81 + 81 + 12c = -45 + 81

Combine like terms: -81 + 81 = 0
0 + 12c = -45 + 81
12c = -45 + 81

Combine like terms: -45 + 81 = 36
12c = 36

Divide each side by '12'.
c = 3

Simplifying
c = 3