Respuesta :

absor201

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.

[tex](\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}[/tex]

temdan2001

The value of X is ratio of fifteen to eight. That is, x = 15/8

ALGEBRIAC EQUATION

Algebraic equation comprises of unknown variables with equality sign.

To evaluate 1/2x+3/2(x+1)-1/4 = 5, Find the LCM in the left hand side.

[tex]\frac{x}{2}[/tex] + [tex]\frac{3(x+1)}{2}[/tex] - [tex]\frac{1}{4}[/tex] = 5

At the Left hand side, the L.C.M is 4

[tex]\frac{2x+6(x+1)-1 }{4} = 5[/tex]

Cross multiply

2x + 6x + 6 - 1 = 20

8x + 5 = 20

Collect the like terms

8x = 20 - 5

8x = 15

Make x the subject of the formula

x = 15/8

Therefore, x = 15/8 in the given algebraic equation.

Learn more about algebraic equation here: https://brainly.com/question/930208

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