2(x+6)=3(c-1)-15

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Solution for 2(x+6)=3(c-1)-15 equation:


Simplifying
2(x + 6) = 3(c + -1) + -15

Reorder the terms:
2(6 + x) = 3(c + -1) + -15
(6 * 2 + x * 2) = 3(c + -1) + -15
(12 + 2x) = 3(c + -1) + -15

Reorder the terms:
12 + 2x = 3(-1 + c) + -15
12 + 2x = (-1 * 3 + c * 3) + -15
12 + 2x = (-3 + 3c) + -15

Reorder the terms:
12 + 2x = -3 + -15 + 3c

Combine like terms: -3 + -15 = -18
12 + 2x = -18 + 3c

Solving
12 + 2x = -18 + 3c

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x = -18 + -12 + 3c

Combine like terms: 12 + -12 = 0
0 + 2x = -18 + -12 + 3c
2x = -18 + -12 + 3c

Combine like terms: -18 + -12 = -30
2x = -30 + 3c

Divide each side by '2'.
x = -15 + 1.5c

Simplifying
x = -15 + 1.5c

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