20-7(5x-4) =6

To solve the equation \( 20 - 7(5x - 4) = 6 \), follow these steps: 1. Distribute \( -7 \) across the term \( (5x - 4) \): \[ 20 - 35x + 28 = 6 \] 2. Combine like terms on the left side: \[ 48 - 35x = 6 \] 3. Isolate the term with \( x \) by subtracting 48 from both sides: \[ -35x = 6 - 48 \] \[ -35x = -42 \] 4. Divide both sides by \( -35 \): \[ x = \frac{-42}{-35} \] \[ x = \frac{42}{35} \] 5. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 7: \[ x = \frac{6}{5} \] So, the solution to the equation is: \[ x = \frac{6}{5} \quad \text{or} \quad 1.2 \]