Question

How many solutions exist for the given equation? 1/2(x + 12) = 4x – 1 zero one two infinitely many

Answer 1

Given equation: $\frac{1}{2} (x+12)= 4x-1$

Multiply both sides by 2.

$\frac{2}{2} (x+12) = 2(4x-1)$

Distribute 2 to the right side.

=> $x+12 = 8x-2$

Add 2 on both sides .

$x+12+2 = 8x-2+2$

Subtract x on both sides.

$x-x+14 = 8x-x$

$14 = 7x 7x = 14$

Divide both sides by 7

x=2.

Hence, there is one solution to this linear equation.

Answer 2

Answer:

2

Step-by-step explanation: