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If the value of the equation 8x+5x+2x+4x=114 . Find the value of 5x+3 .
(a) 12
(b) 25
(c) 33
(d) 47
(e) 86

Answer
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Hint: Here we have an equation 8x+5x+2x+4x=114 , using this equation we first find the value of ‘x’. To find the value of ‘x’, we need to add every term given in the equation which are coefficients of x. After adding we divide the both sides with the value that is equal to the coefficient of ‘x’ to get the value of x. Once, we get the value of ‘x’, we substitute in 5x+3 to get the required answer.

Complete step-by-step answer:
Given that the value of the equation 8x+5x+2x+4x=114 . We need to find the value of 5x+3 .
Let us first find the value of ‘x’ using the equation 8x+5x+2x+4x=114 .
So, we have 8x+5x+2x+4x=114 .
Adding the all terms which are coefficients of ‘x’, we get
 (8+5+2+4)x=114 .
 (19)x=114 .
Dividing with 19 on both sides, we get
 19x19=11419 .
 x=6.
We got the value of ‘x’ to be ‘6’.
Now we use the obtained value of ‘x’ to find the value of 5x+3 . Let us represent the value of 5x+3 as ‘y’.
Let us substitute the value of ‘x’ in 5x+3 . On substituting, we get
 y=(5×6)+3 .
 y=30+3 .
 y=33 .
We got the value of 5x+3 as 33.
∴ The value of ‘x’ is 6 and the value of 5x+3 is 33.
So, the correct answer is “Option c”.

Note: We should not make calculation mistakes while finding the value of ‘x’. We need to make division with exact precision to get the value of ‘x’. Similar types of problems will be given by changing the degree of ‘x’ in either of the equations, adding an extra constant to the equation. Similar procedures will be followed even to solve such types of problems.