Question

1/2x+3/2(x+1)-1/4=5​

Answer 1

Answer:

x= 15/8

Step-by-step explanation:

we need to solve the equation to find the value of x by adding like terms and then finding the value of x.

$(\frac{1}{2})x+(\frac{3}{2})(x+1)-(\frac{1}{4})=5\\(\frac{1}{2})x + (\frac{3}{2})x + (\frac{3}{2}) - (\frac{1}{4}) = 5\\Adding\,\,like\,\,terms\,\\(\frac{(1+3)x}{2}) + (\frac{6-1}{4})=5\\(\frac{4x}{2}) + (\frac{5}{4})=5\\2x= 5- \frac{5}{4}\\2x = \frac{20-5}{4}\\2x= \frac{15}{4}\\x= \frac{15}{4*2}\\x= \frac{15}{8}$

Answer 2

Answer:

$x=\frac{15}{8}$

Step-by-step explanation:

We have been given an equation $\frac{1}{2}x+\frac{3}{2}(x+1)-\frac{1}{4}=5$. We are supposed to solve our given equation for x.

Using distributive property, we will get:

$\frac{1}{2}x+\frac{3}{2}x+\frac{3}{2}-\frac{1}{4}=5$

Combine like terms:

$\frac{1+3}{2}x+\frac{3}{2}-\frac{1}{4}=5$

$\frac{4}{2}x+\frac{3*2}{2*2}-\frac{1}{4}=5$

$2x+\frac{6}{4}-\frac{1}{4}=5$

$2x+\frac{6-1}{4}=5$

$2x+\frac{5}{4}=5$

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

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

$2x=\frac{20}{4}-\frac{5}{4}$

$2x=\frac{20-5}{4}$

$2x=\frac{15}{4}$

$\frac{2x}{2}=\frac{\frac{15}{4}}{2}$

$x=\frac{15}{4*2}$

$x=\frac{15}{8}$

Therefore, the solution of our given equation would be $x=\frac{15}{8}$.