40-(3x+4)=4(c+5)+c

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Solution for 40-(3x+4)=4(c+5)+c equation: 


Simplifying
40 + -1(3x + 4) = 4(c + 5) + c

Reorder the terms:
40 + -1(4 + 3x) = 4(c + 5) + c
40 + (4 * -1 + 3x * -1) = 4(c + 5) + c
40 + (-4 + -3x) = 4(c + 5) + c

Combine like terms: 40 + -4 = 36
36 + -3x = 4(c + 5) + c

Reorder the terms:
36 + -3x = 4(5 + c) + c
36 + -3x = (5 * 4 + c * 4) + c
36 + -3x = (20 + 4c) + c

Combine like terms: 4c + c = 5c
36 + -3x = 20 + 5c

Solving
36 + -3x = 20 + 5c

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -3x = 20 + -36 + 5c

Combine like terms: 36 + -36 = 0
0 + -3x = 20 + -36 + 5c
-3x = 20 + -36 + 5c

Combine like terms: 20 + -36 = -16
-3x = -16 + 5c

Divide each side by '-3'.
x = 5.333333333 + -1.666666667c

Simplifying
x = 5.333333333 + -1.666666667c

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