0.5(-12c+6)=-3(c+4)+10(c-5)

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Solution for 0.5(-12c+6)=-3(c+4)+10(c-5) equation:


Simplifying
0.5(-12c + 6) = -3(c + 4) + 10(c + -5)

Reorder the terms:
0.5(6 + -12c) = -3(c + 4) + 10(c + -5)
(6 * 0.5 + -12c * 0.5) = -3(c + 4) + 10(c + -5)
(3 + -6c) = -3(c + 4) + 10(c + -5)

Reorder the terms:
3 + -6c = -3(4 + c) + 10(c + -5)
3 + -6c = (4 * -3 + c * -3) + 10(c + -5)
3 + -6c = (-12 + -3c) + 10(c + -5)

Reorder the terms:
3 + -6c = -12 + -3c + 10(-5 + c)
3 + -6c = -12 + -3c + (-5 * 10 + c * 10)
3 + -6c = -12 + -3c + (-50 + 10c)

Reorder the terms:
3 + -6c = -12 + -50 + -3c + 10c

Combine like terms: -12 + -50 = -62
3 + -6c = -62 + -3c + 10c

Combine like terms: -3c + 10c = 7c
3 + -6c = -62 + 7c

Solving
3 + -6c = -62 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
3 + -6c + -7c = -62 + 7c + -7c

Combine like terms: -6c + -7c = -13c
3 + -13c = -62 + 7c + -7c

Combine like terms: 7c + -7c = 0
3 + -13c = -62 + 0
3 + -13c = -62

Add '-3' to each side of the equation.
3 + -3 + -13c = -62 + -3

Combine like terms: 3 + -3 = 0
0 + -13c = -62 + -3
-13c = -62 + -3

Combine like terms: -62 + -3 = -65
-13c = -65

Divide each side by '-13'.
c = 5

Simplifying
c = 5

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