4=7-6(5x-1)

Let's solve the equation step-by-step: Given equation: \[ 4 = 7 - 6(5x - 1) \] 1. Start by distributing the \(-6\) on the right side: \[ 4 = 7 - 30x + 6 \] (Since \(-6 \times 5x = -30x\) and \(-6 \times -1 = +6\)) 2. Now combine the constant terms on the right side: \[ 4 = 13 - 30x \] (Where \(7 + 6 = 13\)) 3. Next, isolate the \(30x\) term by moving \(13\) to the left side: \[ 4 - 13 = -30x \] \[ -9 = -30x \] 4. To solve for \(x\), divide both sides by \(-30\): \[ x = \frac{-9}{-30} \] \[ x = \frac{9}{30} \] 5. Simplify the fraction: \[ x = \frac{3}{10} \] So the solution is: \[ x = \frac{3}{10} \]