Answer:X=9Step-by-step explanation:To solve this variable, first, you have to isolate it on one side of the equation. Remember to solve this problem, isolate x on one side of the equation.First, expand.1/2(6x-10)=3x-53x-5+10=5x-13Add & subtract numbers from left to right.-5+10=53x+5=5x-13Next, subtract 5 from both sides.3x+5-5=5x-13-5Solve.13+5=183x=5x-18Subtract 5x from both sides.3x-5x=5x-18-5xSolve.3-5=-2-2x=-18Then, divide by -2 from both sides.-2x/-2=-18/-2Solve.Divide the numbers from left to right.-18/-2=9X=9[tex]\Large\boxed{\mathsf{\Rightarrow X=9}}}[/tex]Therefore, the final answer is x=9.