-3+6(c-2)=-8+2(c+3)

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Solution for -3+6(c-2)=-8+2(c+3) equation:


Simplifying
-3 + 6(c + -2) = -8 + 2(c + 3)

Reorder the terms:
-3 + 6(-2 + c) = -8 + 2(c + 3)
-3 + (-2 * 6 + c * 6) = -8 + 2(c + 3)
-3 + (-12 + 6c) = -8 + 2(c + 3)

Combine like terms: -3 + -12 = -15
-15 + 6c = -8 + 2(c + 3)

Reorder the terms:
-15 + 6c = -8 + 2(3 + c)
-15 + 6c = -8 + (3 * 2 + c * 2)
-15 + 6c = -8 + (6 + 2c)

Combine like terms: -8 + 6 = -2
-15 + 6c = -2 + 2c

Solving
-15 + 6c = -2 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
-15 + 6c + -2c = -2 + 2c + -2c

Combine like terms: 6c + -2c = 4c
-15 + 4c = -2 + 2c + -2c

Combine like terms: 2c + -2c = 0
-15 + 4c = -2 + 0
-15 + 4c = -2

Add '15' to each side of the equation.
-15 + 15 + 4c = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 4c = -2 + 15
4c = -2 + 15

Combine like terms: -2 + 15 = 13
4c = 13

Divide each side by '4'.
c = 3.25

Simplifying
c = 3.25

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