13-4(2-х)>=6х-2

To solve the inequality \( 13 - 4(2 - x) \geq 6x - 2 \), we will follow several steps:

1. Distribute the -4: \[ 13 - 8 + 4x \geq 6x - 2 \] This simplifies to: \[ 5 + 4x \geq 6x - 2 \]

2. Rearrange the terms: Subtract \( 4x \) from both sides: \[ 5 \geq 6x - 4x - 2 \] This simplifies to: \[ 5 \geq 2x - 2 \]

3. Add 2 to both sides: \[ 5 + 2 \geq 2x \] Which simplifies to: \[ 7 \geq 2x \]

4. Divide both sides by 2: \[ \frac{7}{2} \geq x \] Or: \[ x \leq \frac{7}{2} \]

Thus, the solution to the inequality is: \[ x \leq 3.5 \]

In interval notation, this can be expressed as: \[ (-\infty, \frac{7}{2}] \]