What is the answer to 1/4 c-3 1/2 c+3=-3/4 c ?

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

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1/4 c-3 1/2 c+3=-3/4 c

\frac{1}{4} c - 3 \frac{1}{2} c + 3 = - \frac{3}{4} c

c = 1 \frac{1}{5}

Solution steps

\frac{1}{4} c - 3 \frac{1}{2} c + 3 = - \frac{3}{4} c

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

\frac{1}{4} c - \frac{7}{2} c + 3 = - \frac{3}{4} c

Move

3

to the right side

\frac{1}{4} c - \frac{7}{2} c = - \frac{3}{4} c - 3

Move

\frac{3}{4} c

to the left side

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

Multiply both sides by

2

- 5 c = - 6

Divide both sides by

- 5

c = \frac{6}{5}

Convert improper fractions to mixed numbers:

\frac{6}{5} = 1 \frac{1}{5}

c = 1 \frac{1}{5}

14 - 12 x + 39 x - 18 x = 239 - 60 x - 6 x

- 18 = - 3 y

\frac{x}{2} + \frac{x}{5} = 7

2 x + 4 = 3 x - 2

x, y - 2 = 3 (x - 4)

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