0.3(6c-42)=-0.9(c-1)

Solution for 0.3(6c-42)=-0.9(c-1) equation:

Simplifying
0.3(6c + -42) = -0.9(c + -1)

Reorder the terms:
0.3(-42 + 6c) = -0.9(c + -1)
(-42 * 0.3 + 6c * 0.3) = -0.9(c + -1)
(-12.6 + 1.8c) = -0.9(c + -1)

Reorder the terms:
-12.6 + 1.8c = -0.9(-1 + c)
-12.6 + 1.8c = (-1 * -0.9 + c * -0.9)
-12.6 + 1.8c = (0.9 + -0.9c)

Solving
-12.6 + 1.8c = 0.9 + -0.9c

Solving for variable 'c'.

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

Add '0.9c' to each side of the equation.
-12.6 + 1.8c + 0.9c = 0.9 + -0.9c + 0.9c

Combine like terms: 1.8c + 0.9c = 2.7c
-12.6 + 2.7c = 0.9 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-12.6 + 2.7c = 0.9 + 0.0
-12.6 + 2.7c = 0.9

Add '12.6' to each side of the equation.
-12.6 + 12.6 + 2.7c = 0.9 + 12.6

Combine like terms: -12.6 + 12.6 = 0.0
0.0 + 2.7c = 0.9 + 12.6
2.7c = 0.9 + 12.6

Combine like terms: 0.9 + 12.6 = 13.5
2.7c = 13.5

Divide each side by '2.7'.
c = 5

Simplifying
c = 5