In the equation, which is true about the value of x? 3x + 7(x + 1) = 2(6x + 5) − 2x
a. no solution
b. one solution
c. infinite solutions
d. x = 7, x = 10

Option A

ANSWER:  

In the equation, 3x+7(x + 1) = 2(6x + 5) -2x ,no solution exists for “x”

SOLUTION:

Given equation is 3x + 7(x + 1) = 2(6x + 5) − 2x

By multiplying the terms within the bracket, we get

3x + 7x + 7 = (2)6x + (2)5 – 2x

On simplifying the above equation, we get

3x + 7x + 7 = 12x +10 -2x

10x + 7 = 10x + 10

By moving the terms from right side to left side, we get

(10x -10x) + (7 – 10) = 0  

0 + (-3) = 0

-3 = 0

Hence the given equation is invalid for any value of x

So, there is no solution, which satisfies the given equation.

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step-by-step explanation: