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Chapter 3: Q50. (page 133)

Multiple Choice What is the solution of the equation 2(3x + 4) = 6x + 5?

A. 1

B. 3

C. All numbers

D. No solution

Short Answer

Expert verified

The answer is D. No solution

Step by step solution

01

Step-1 – Given

The given equation is 23x+4=6x+5

02

Step-2 – To determine

We have to solve the equation for x.

03

Step-3 – Calculation

23x+4=6x+5writetheoriginalequation6x+8=6x+5UseDistributiveproperty6x+8−8=6x+5−8subtract8frombothsides6x+0=6x−3simplify6x−6x=6x−6x−3subtract6xfrombothsides0=−3

The statement 0=-3 is false, this means the equation has no solution.

So, the solution is option D.

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