Question

1. what value of x satisfies the equation $\frac{1}{4}(12x - 16)=2x$? enter the correct answer into the box. $x=square$ clear all

Explanation:

Step1: Distribute the fraction

$\frac{1}{4}(12x - 16)=\frac{1}{4}\times12x-\frac{1}{4}\times16 = 3x-4$

Step2: Set up the new - equation

The original equation $\frac{1}{4}(12x - 16)=2x$ becomes $3x - 4=2x$

Step3: Isolate the variable x

Subtract $2x$ from both sides: $3x-2x-4=2x - 2x$. This simplifies to $x-4 = 0$. Then add 4 to both sides: $x-4 + 4=0 + 4$

Answer:

$x = 4$