7(c-9)=9(2c-8)+4c

Solution for 7(c-9)=9(2c-8)+4c equation:

Simplifying
7(c + -9) = 9(2c + -8) + 4c

Reorder the terms:
7(-9 + c) = 9(2c + -8) + 4c
(-9 * 7 + c * 7) = 9(2c + -8) + 4c
(-63 + 7c) = 9(2c + -8) + 4c

Reorder the terms:
-63 + 7c = 9(-8 + 2c) + 4c
-63 + 7c = (-8 * 9 + 2c * 9) + 4c
-63 + 7c = (-72 + 18c) + 4c

Combine like terms: 18c + 4c = 22c
-63 + 7c = -72 + 22c

Solving
-63 + 7c = -72 + 22c

Solving for variable 'c'.

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

Add '-22c' to each side of the equation.
-63 + 7c + -22c = -72 + 22c + -22c

Combine like terms: 7c + -22c = -15c
-63 + -15c = -72 + 22c + -22c

Combine like terms: 22c + -22c = 0
-63 + -15c = -72 + 0
-63 + -15c = -72

Add '63' to each side of the equation.
-63 + 63 + -15c = -72 + 63

Combine like terms: -63 + 63 = 0
0 + -15c = -72 + 63
-15c = -72 + 63

Combine like terms: -72 + 63 = -9
-15c = -9

Divide each side by '-15'.
c = 0.6

Simplifying
c = 0.6