5c+2-3r=10

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Solution for 5c+2-3r=10 equation: 


Simplifying
5c + 2 + -3r = 10

Reorder the terms:
2 + 5c + -3r = 10

Solving
2 + 5c + -3r = 10

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + 5c + -2 + -3r = 10 + -2

Reorder the terms:
2 + -2 + 5c + -3r = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5c + -3r = 10 + -2
5c + -3r = 10 + -2

Combine like terms: 10 + -2 = 8
5c + -3r = 8

Add '3r' to each side of the equation.
5c + -3r + 3r = 8 + 3r

Combine like terms: -3r + 3r = 0
5c + 0 = 8 + 3r
5c = 8 + 3r

Divide each side by '5'.
c = 1.6 + 0.6r

Simplifying
c = 1.6 + 0.6r

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