4(х-6)=5 х+х/11=24/11 7/х+8=-1

Let's solve each equation step by step.

Equation 1: \( 4(x - 6) = 5 \)

1. Distribute the 4: \[ 4x - 24 = 5 \]

2. Add 24 to both sides: \[ 4x = 29 \]

3. Divide by 4: \[ x = \frac{29}{4} \]

Equation 2: \( x + \frac{x}{11} = \frac{24}{11} \)

1. To combine \(x\) and \(\frac{x}{11}\), convert \(x\) into a fraction: \[ x = \frac{11x}{11} \] So, the equation becomes: \[ \frac{11x}{11} + \frac{x}{11} = \frac{24}{11} \]

2. Combine the fractions: \[ \frac{11x + x}{11} = \frac{24}{11} \] \[ \frac{12x}{11} = \frac{24}{11} \]

3. Multiply both sides by 11 to eliminate the denominator: \[ 12x = 24 \]

4. Divide by 12: \[ x = 2 \]

Equation 3: \( \frac{7}{x} + 8 = -1 \)

1. Subtract 8 from both sides: \[ \frac{7}{x} = -1 - 8 \] \[ \frac{7}{x} = -9 \]

2. Cross-multiply to solve for \(x\): \[ 7 = -9x \]

3. Divide by -9: \[ x = -\frac{7}{9} \]

Summary of Solutions:

1. \( x = \frac{29}{4} \) for the first equation.
2. \( x = 2 \) for the second equation.
3. \( x = -\frac{7}{9} \) for the third equation.