2(x+5)=2(x+3)+c

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


Simplifying
2(x + 5) = 2(x + 3) + c

Reorder the terms:
2(5 + x) = 2(x + 3) + c
(5 * 2 + x * 2) = 2(x + 3) + c
(10 + 2x) = 2(x + 3) + c

Reorder the terms:
10 + 2x = 2(3 + x) + c
10 + 2x = (3 * 2 + x * 2) + c
10 + 2x = (6 + 2x) + c

Reorder the terms:
10 + 2x = 6 + c + 2x

Add '-2x' to each side of the equation.
10 + 2x + -2x = 6 + c + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 0 = 6 + c + 2x + -2x
10 = 6 + c + 2x + -2x

Combine like terms: 2x + -2x = 0
10 = 6 + c + 0
10 = 6 + c

Solving
10 = 6 + c

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.
10 + -1c = 6 + c + -1c

Combine like terms: c + -1c = 0
10 + -1c = 6 + 0
10 + -1c = 6

Add '-10' to each side of the equation.
10 + -10 + -1c = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1c = 6 + -10
-1c = 6 + -10

Combine like terms: 6 + -10 = -4
-1c = -4

Divide each side by '-1'.
c = 4

Simplifying
c = 4

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