45-(2c+5)=4(c+5)+c

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Solution for 45-(2c+5)=4(c+5)+c equation: 


Simplifying
45 + -1(2c + 5) = 4(c + 5) + c

Reorder the terms:
45 + -1(5 + 2c) = 4(c + 5) + c
45 + (5 * -1 + 2c * -1) = 4(c + 5) + c
45 + (-5 + -2c) = 4(c + 5) + c

Combine like terms: 45 + -5 = 40
40 + -2c = 4(c + 5) + c

Reorder the terms:
40 + -2c = 4(5 + c) + c
40 + -2c = (5 * 4 + c * 4) + c
40 + -2c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
40 + -2c = 20 + 5c

Solving
40 + -2c = 20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
40 + -2c + -5c = 20 + 5c + -5c

Combine like terms: -2c + -5c = -7c
40 + -7c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
40 + -7c = 20 + 0
40 + -7c = 20

Add '-40' to each side of the equation.
40 + -40 + -7c = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -7c = 20 + -40
-7c = 20 + -40

Combine like terms: 20 + -40 = -20
-7c = -20

Divide each side by '-7'.
c = 2.857142857

Simplifying
c = 2.857142857

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