a) \( 2-3 \cdot(x-5)=2 \cdot(3 x-5) \)

Solve the equation \( 2-3 \cdot(x-5)=2 \cdot(3 x-5) \). Solve the equation by following steps: - step0: Solve for \(x\): \(2-3\left(x-5\right)=2\left(3x-5\right)\) - step1: Calculate: \(17-3x=2\left(3x-5\right)\) - step2: Calculate: \(17-3x=6x-10\) - step3: Move the expression to the left side: \(17-3x-\left(6x-10\right)=0\) - step4: Calculate: \(27-9x=0\) - step5: Move the constant to the right side: \(-9x=0-27\) - step6: Remove 0: \(-9x=-27\) - step7: Change the signs: \(9x=27\) - step8: Divide both sides: \(\frac{9x}{9}=\frac{27}{9}\) - step9: Divide the numbers: \(x=3\) The solution to the equation \(2-3 \cdot(x-5)=2 \cdot(3 x-5)\) is \(x=3\).