37-(2c+3)=4(x+5)+c

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Solution for 37-(2c+3)=4(x+5)+c equation: 


Simplifying
37 + -1(2c + 3) = 4(x + 5) + c

Reorder the terms:
37 + -1(3 + 2c) = 4(x + 5) + c
37 + (3 * -1 + 2c * -1) = 4(x + 5) + c
37 + (-3 + -2c) = 4(x + 5) + c

Combine like terms: 37 + -3 = 34
34 + -2c = 4(x + 5) + c

Reorder the terms:
34 + -2c = 4(5 + x) + c
34 + -2c = (5 * 4 + x * 4) + c
34 + -2c = (20 + 4x) + c

Reorder the terms:
34 + -2c = 20 + c + 4x

Solving
34 + -2c = 20 + c + 4x

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
34 + -2c + -1c = 20 + c + -1c + 4x

Combine like terms: -2c + -1c = -3c
34 + -3c = 20 + c + -1c + 4x

Combine like terms: c + -1c = 0
34 + -3c = 20 + 0 + 4x
34 + -3c = 20 + 4x

Add '-34' to each side of the equation.
34 + -34 + -3c = 20 + -34 + 4x

Combine like terms: 34 + -34 = 0
0 + -3c = 20 + -34 + 4x
-3c = 20 + -34 + 4x

Combine like terms: 20 + -34 = -14
-3c = -14 + 4x

Divide each side by '-3'.
c = 4.666666667 + -1.333333333x

Simplifying
c = 4.666666667 + -1.333333333x

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