What is the answer to 1/2 c=-3-3/2 c-5/2 c+1 ?

The answer to 1/2 c=-3-3/2 c-5/2 c+1 is c=-4/9

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1/2 c=-3-3/2 c-5/2 c+1

\frac{1}{2} c = - 3 - \frac{3}{2} c - \frac{5}{2} c + 1

c = - \frac{4}{9}

Decimal Notation

c = - 0.44444 \dots

Solution steps

\frac{1}{2} c = - 3 - \frac{3}{2} c - \frac{5}{2} c + 1

Group like terms

\frac{1}{2} c = - \frac{3}{2} c - \frac{5}{2} c - 3 + 1

Add/Subtract the numbers:

- 3 + 1 = - 2

\frac{1}{2} c = - \frac{3}{2} c - \frac{5}{2} c - 2

Subtract

- \frac{3}{2} c - \frac{5}{2} c

from both sides

\frac{1}{2} c - (- \frac{3}{2} c - \frac{5}{2} c) = - \frac{3}{2} c - \frac{5}{2} c - 2 - (- \frac{3}{2} c - \frac{5}{2} c)

Simplify

\frac{9}{2} c = - 2

Multiply both sides by

2

9 c = - 4

Divide both sides by

9

c = - \frac{4}{9}

3 k - 1 = 7 k + 2

2 u - \frac{2}{3} = - \frac{3}{4} u + 3

3 x - 14 = 7 x + 6

\frac{3 x + 8}{10} - \frac{9 x - 9}{14} = \frac{31 x - 4}{14} + \frac{4 x - 1}{35}

11 x = 24 + 8 x

What is the answer to 1/2 c=-3-3/2 c-5/2 c+1 ?
The answer to 1/2 c=-3-3/2 c-5/2 c+1 is c=-4/9
Solve for c: 1/2 c=-3-3/2 c-5/2 c+1
The solution is c=-4/9