Question

Solve for x : 3(−5x+7)+5/        4=−7x (1 point)

Answer 1

To solve the equation, we'll distribute the 3 on the left side and combine like terms:

3(-5x + 7) + 5/4 = -7x

-15x + 21 + 5/4 = -7x

Next, we'll combine the constant terms:

-15x + 21 + 5/4 = -7x

-15x + 5/4 = -7x - 21

Now, we'll combine the x terms:

-15x + 5/4 = -7x - 21

-15x + 7x + 5/4 = -21

-8x + 5/4 = -21

To isolate x, we'll subtract 5/4 from both sides:

-8x + 5/4 - 5/4 = -21 - 5/4

-8x = -21 - 5/4

-8x = -84/4 - 5/4

-8x = -89/4

Finally, we'll divide by -8:

x = (-89/4) / -8

x = 89/32

Therefore, the solution is x = 89/32.