x = -12 is the solution of the linear equation 5x -3(2x + 1) = 21+x. State whether the statement is true or false.

Solution:

Given, x = -12 is the solution of the linear equation 5x -3(2x + 1) = 21+x.

We have to determine if the given statement is true or false.

On solving the equation for x,

5x - 3(2x + 1) = 21 + x

5x - 6x - 3 = 21 + x

x(5 - 6) - 3 = 21 + x

-x - 3 = 21 + x

-3 = 21 + x + x

-3 = 21 + 2x

2x = -3 - 21

2x = -24

x = -12

Therefore, the solution of the equation is -12.

✦ Try This: x = 10 is the solution of the linear equation 8x - 2(3x - 1) = 12 + x. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Sample Problem 6

x = -12 is the solution of the linear equation 5x -3(2x + 1) = 21+x. State whether the statement is true or false

Summary:

The given statement, ”x = -12 is the solution of the linear equation 5x -3(2x + 1) = 21+x” is true.

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