Respuesta :

Given the equation

5 (- 3 x - 2) - (x - 3) = - 4 (4 x + 5) + 13  

Multiply factors.

-15 x - 10 - x + 3 = - 16 x - 20 + 13  

Group like terms.

- 16 x - 7 = - 16 x - 7  

Add 16x + 7 to both sides and write the equation as follows

0 = 0

The above statement is true for all values of x and therefore all real numbers are solutions to the given equation

Answer:

This equation has Infinite Solutions.

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Distribute the 5 and the -4 into their respective parenthesis

-15x -10 - x + 3 = -16x -20 + 13

Combine like terms on both sides

-15x -10 - x + 3 = -16x -20 + 13

-15x -x - 7 = -16x -20 + 13

-16x -7 = -16x -20 + 13

-16x -7 = -16x – 7

Than balance the equation

-16x -7 = -16x – 7

+7                      +7

-16x = -16x

-16x      -16x

0=0

This equation had Infinite Solutions because all real numbers are answers to the equation.

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