What is the answer to 1/4 k-3+5/4 k-1= 3/8 k+2 ?

The answer to 1/4 k-3+5/4 k-1= 3/8 k+2 is k= 16/3

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1/4 k-3+5/4 k-1= 3/8 k+2

\frac{1}{4} k - 3 + \frac{5}{4} k - 1 = \frac{3}{8} k + 2

k = \frac{16}{3}

Decimal Notation

k = 5.33333 \dots

Solution steps

\frac{1}{4} k - 3 + \frac{5}{4} k - 1 = \frac{3}{8} k + 2

Group like terms

\frac{1}{4} k + \frac{5}{4} k - 3 - 1 = \frac{3}{8} k + 2

Subtract the numbers:

- 3 - 1 = - 4

\frac{1}{4} k + \frac{5}{4} k - 4 = \frac{3}{8} k + 2

Move

4

to the right side

\frac{1}{4} k + \frac{5}{4} k = \frac{3}{8} k + 6

Move

\frac{3}{8} k

to the left side

\frac{9}{8} k = 6

Multiply both sides by

8

9 k = 48

Divide both sides by

9

k = \frac{16}{3}

x, 5 x - y = 8

x, 3 x + 4 y = 1

\frac{2}{3} p - \frac{3}{4} = \frac{1}{2} + \frac{5}{6} p

a, 4 a + 2 b = 10

2 x - 1 = 2

What is the answer to 1/4 k-3+5/4 k-1= 3/8 k+2 ?
The answer to 1/4 k-3+5/4 k-1= 3/8 k+2 is k= 16/3
Solve for k: 1/4 k-3+5/4 k-1= 3/8 k+2
The solution is k= 16/3