38-(2x+4)=2(c+7)+c

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Solution for 38-(2x+4)=2(c+7)+c equation: 


Simplifying
38 + -1(2x + 4) = 2(c + 7) + c

Reorder the terms:
38 + -1(4 + 2x) = 2(c + 7) + c
38 + (4 * -1 + 2x * -1) = 2(c + 7) + c
38 + (-4 + -2x) = 2(c + 7) + c

Combine like terms: 38 + -4 = 34
34 + -2x = 2(c + 7) + c

Reorder the terms:
34 + -2x = 2(7 + c) + c
34 + -2x = (7 * 2 + c * 2) + c
34 + -2x = (14 + 2c) + c

Combine like terms: 2c + c = 3c
34 + -2x = 14 + 3c

Solving
34 + -2x = 14 + 3c

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -2x = 14 + -34 + 3c

Combine like terms: 34 + -34 = 0
0 + -2x = 14 + -34 + 3c
-2x = 14 + -34 + 3c

Combine like terms: 14 + -34 = -20
-2x = -20 + 3c

Divide each side by '-2'.
x = 10 + -1.5c

Simplifying
x = 10 + -1.5c

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