solve 2/3 ( x - 6) = 14

Answer 1

To solve the equation \( \frac{2}{3} ( x - 6) = 14 \), follow these steps:

1. Multiply both sides by 3 to eliminate the fraction: \[ 3 \cdot \frac{2}{3} (x - 6) = 3 \cdot 14 \]

   This simplifies to: \[ 2(x - 6) = 42 \]

2. Divide both sides by 2: \[ x - 6 = 21 \]

3. Add 6 to both sides to solve for \( x \): \[ x = 21 + 6 \] \[ x = 27 \]

So, the solution is \( x = 27 \).

Answer 2

One- quarter of the difference of a number and 3 is 2 find the number

Answer 3

Let's denote the unknown number as \( x \). According to the problem, one quarter of the difference between the number and 3 equals 2. We can write this as an equation:

\[ \frac{1}{4}(x - 3) = 2 \]

To solve for \( x \), follow these steps:

1. Multiply both sides by 4 to eliminate the fraction: \[ x - 3 = 2 \cdot 4 \] \[ x - 3 = 8 \]

2. Add 3 to both sides: \[ x = 8 + 3 \] \[ x = 11 \]

So, the number is \( x = 11 \).

Answer 4

solve - 2 ( 4 - n) = 24

Answer 5

To solve the equation \( -2(4 - n) = 24 \), follow these steps:

1. Distribute the -2: \[ -2 \cdot 4 + 2n = 24 \] This simplifies to: \[ -8 + 2n = 24 \]

2. Add 8 to both sides to isolate the term with \( n \): \[ 2n = 24 + 8 \] \[ 2n = 32 \]

3. Divide both sides by 2 to solve for \( n \): \[ n = \frac{32}{2} \] \[ n = 16 \]

Thus, the solution is \( n = 16 \).