Question

7p - 3 = 3p + 8 Solve the equation

Answer 1

answer : 11/4

explanation : 7p - 3 = 3p + 8

add 3 to both sides so you remove the constant term on the left hand side.

i.e., 7p - 3 + 3 = 3p + 8 + 3

or, 7p + 0 = 3p + 11

or, 7p = 3p + 11

subtract 11 from both sides so you remove the constant term on the right hand side.

i.e., 7p - 11 = 3p + 11 - 11

or, 7p - 11 = 3p + 0

or, 7p - 11 = 3p

subtract 3p from both sides so you remove the variable term on the right hand side.

i.e., 7p - 11 - 3p = 3p - 3p

or, 7p - 3p - 11 = 0

or, 4p - 11 = 0

displace (-11) from left hand side to right hand side with negative sign.

or, 4p = -(-11)

or, 4p = 11

divide both sides by 4

or, 4p/4 = 11/4

or, p = 11/4

hence, value of p = 11/4

Answer 2

Answer:

=> $p = \frac{11}{4}$

Step-by-step explanation:

Given that:-

$7p - 3 = 3p + 8$

As we have to simplify the equation,

To find:- The value of the expression

For that, recall the BODMAS rule which means:

It is the sequence of various mathematical operations, which used for solving different problems.

Now, reorder the terms:

=> $-3 + 7p = 3p + 8$

=> $-3 + 7p = 8 + 3p$

On Solving it, we get

=> $-3 + 7p = 8 + 3p$

Solving for variable 'p'.  

Add $-3p$ to each side:

=> $-3 + 7p + -3p = 8 + 3p + -3p$  

Combine like terms: $7p + -3p = 4p$

$=> -3 + 4p = 8 + 3p + -3p$  

Combine like terms: $3p + -3p = 0$

=> $-3 + 4p = 8 + 0$

=> $-3 + 4p = 8$  

Add '$3$' to each side:

$=> -3 + 3 + 4p = 8 + 3$

Combine like terms: $-3 + 3 = 0$

$=> 0 + 4p = 8 + 3$

$=> 4p = 8 + 3$

Combine like terms: $8 + 3 = 11$

=> 4p = 11

Divide each side by '$4$'.

=> $p = \frac{11}{4}$