Answer:
x =1
Step-by-step explanation:
[tex]6x-3\left(6-5x\right)+3x=10-4\left(2-x\right)\\\\Group\:like\terms\\6x+3x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Add\:similar\:elements:\:6x+3x=9x\\9x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Expand\:-3\left(-5x+6\right):\quad 15x-18\\9x+15x-18=10-4\left(2-x\right)\\\\\mathrm{Add\:similar\:elements:}\:9x+15x=24x\\24x-18=10-4\left(2-x\right)\\\\Expand\:10-4(2-x):4x+2\\24x-18=4x+2\\\\Add\:18\:to\:both\:sides\\24x-18+18=4x+2+18\\\\Simplify\\24x=4x+20\\[/tex]
[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\24x-4x=4x+20-4x\\\\Simplify\\20x=20\\\\\mathrm{Divide\:both\:sides\:by\:}20\\\frac{20x}{20}=\frac{20}{20}\\\\Simplify\\x=1[/tex]
