7(12+4c)-6(11+9x)=122

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Solution for 7(12+4c)-6(11+9x)=122 equation:


Simplifying
7(12 + 4c) + -6(11 + 9x) = 122
(12 * 7 + 4c * 7) + -6(11 + 9x) = 122
(84 + 28c) + -6(11 + 9x) = 122
84 + 28c + (11 * -6 + 9x * -6) = 122
84 + 28c + (-66 + -54x) = 122

Reorder the terms:
84 + -66 + 28c + -54x = 122

Combine like terms: 84 + -66 = 18
18 + 28c + -54x = 122

Solving
18 + 28c + -54x = 122

Solving for variable 'c'.

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

Add '-18' to each side of the equation.
18 + 28c + -18 + -54x = 122 + -18

Reorder the terms:
18 + -18 + 28c + -54x = 122 + -18

Combine like terms: 18 + -18 = 0
0 + 28c + -54x = 122 + -18
28c + -54x = 122 + -18

Combine like terms: 122 + -18 = 104
28c + -54x = 104

Add '54x' to each side of the equation.
28c + -54x + 54x = 104 + 54x

Combine like terms: -54x + 54x = 0
28c + 0 = 104 + 54x
28c = 104 + 54x

Divide each side by '28'.
c = 3.714285714 + 1.928571429x

Simplifying
c = 3.714285714 + 1.928571429x

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