Question

e="2x + \frac{5}{8} = 3x - \frac{5}{8}" alt="2x + \frac{5}{8} = 3x - \frac{5}{8}" align="absmiddle" class="latex-formula">

Answer 1

hi <3

add 5/8 to both sides

2x + 10/8 = 3x

subtract 2x from both sides to get your answer of:

x = 10/8

hope this helps :)

Answer 2

Answer:

$x=\frac{5}{4}$

Step-by-step explanation:

$2x+\frac{5}{8}=3x-\frac{5}{8}$

Subtract 5/8 from both sides:-

$2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}$

$2x+\frac{5}{8}-\frac{5}{8}$

Add like terms:-

• $\frac{5}{8}-\frac{5}{8}=0$

• $=2x$

$3x-\frac{5}{8}-\frac{5}{8}$

Rule:- $\frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}$

• $\frac{-5-5}{8}$

Subtract, $-5-5=-10$

• $=\frac{-10}{8}$

Cancel common factor: 2

• $=-\frac{5}{4}$

• $=3x-\frac{5}{4}$

---------------

$2x=3x-\frac{5}{4}$

Now, subtract 3x from both sides:-

$2x-3x=3x-\frac{5}{4}-3x$

$-x=-\frac{5}{4}$

Divide both sides by -1:-

$\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}$

$x=\frac{5}{4}$

OAmalOHopeO