How do you solve 4(2x−1)−3=9(x−4)?
Answers
Answer:
Step-by-step explanation:
Answer:
Required value of x is 29.
Step-by-step explanation:
Given equation is 4( 2x - 1 ) - 3 = 9( x - 4 ).
Since 4 is outside the bracket, and no sign is present between 4 and bracket, it means we have to multiply all the terms if we want to open the bracket in order to simplify, in left hand side. Similarly, in right hand side, 9 is outside the bracket, and no sign is present between 4 and bracket, it means we have to multiply all the terms if we want to open the bracket in order to simplify.
Thus,
= > 4( 2x - 1 ) -3 = 9( x - 4 )
= > 4( 2x ) - 4( 1 ) - 3 = 9( x ) - 9( 4 )
= > 8x - 4 - 3 = 9x - 36
= > 8x - 7 = 9x - 36
= > 8x - 7 + 36 = 9x - 36 + 36 [ Adding 36 on both sides ]
= > 8x + 29 = 9x
= > 8x - 8x + 29 = 9x - 8x [ Adding - 8x on both sides ]
= > 29 = x
Hence the required value of x is 29.