What is the answer to (4h-(21-8h))/3 =(15+6(h-1))/2 ?

The answer to (4h-(21-8h))/3 =(15+6(h-1))/2 is h= 23/2

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(4h-(21-8h))/3 =(15+6(h-1))/2

\frac{4 h - ( 21 - 8 h )}{3} = \frac{15 + 6 ( h - 1 )}{2}

h = \frac{23}{2}

Decimal Notation

h = 11.5

Solution steps

\frac{4 h - ( 21 - 8 h )}{3} = \frac{15 + 6 ( h - 1 )}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(4 h - (21 - 8 h)) \cdot 2 = 3 (15 + 6 (h - 1))

Simplify

2 (12 h - 21) = 3 (6 h + 9)

Expand

2 (12 h - 21) : 24 h - 42

Expand

3 (6 h + 9) : 18 h + 27

24 h - 42 = 18 h + 27

Move

42

to the right side

24 h = 18 h + 69

Move

18 h

to the left side

6 h = 69

Divide both sides by

6

h = \frac{23}{2}

\frac{x}{2} + \frac{x}{3} - 1 = \frac{x}{6} + 3

11 x - x y + 11 y - x^{2}

\frac{x + 3}{x - 1} \geq 0

z^{2} - 5 z + 7 = 0

\frac{p}{8} < 2

What is the answer to (4h-(21-8h))/3 =(15+6(h-1))/2 ?
The answer to (4h-(21-8h))/3 =(15+6(h-1))/2 is h= 23/2
Solve for h: (4h-(21-8h))/3 =(15+6(h-1))/2
The solution is h= 23/2