5(c-6)+6(c-22)=3

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Solution for 5(c-6)+6(c-22)=3 equation:


Simplifying
5(c + -6) + 6(c + -22) = 3

Reorder the terms:
5(-6 + c) + 6(c + -22) = 3
(-6 * 5 + c * 5) + 6(c + -22) = 3
(-30 + 5c) + 6(c + -22) = 3

Reorder the terms:
-30 + 5c + 6(-22 + c) = 3
-30 + 5c + (-22 * 6 + c * 6) = 3
-30 + 5c + (-132 + 6c) = 3

Reorder the terms:
-30 + -132 + 5c + 6c = 3

Combine like terms: -30 + -132 = -162
-162 + 5c + 6c = 3

Combine like terms: 5c + 6c = 11c
-162 + 11c = 3

Solving
-162 + 11c = 3

Solving for variable 'c'.

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

Add '162' to each side of the equation.
-162 + 162 + 11c = 3 + 162

Combine like terms: -162 + 162 = 0
0 + 11c = 3 + 162
11c = 3 + 162

Combine like terms: 3 + 162 = 165
11c = 165

Divide each side by '11'.
c = 15

Simplifying
c = 15

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