[tex]6x-14=2-10x\qquad\text{add 14 to both sides}\\\\6x=16-10x\qquad\text{add 10x to both sides}\\\\16x=16\qquad\text{divide both sides by 16}\\\\\boxed{x=1}[/tex]
[tex]Check:\\\\6x-14=6(1)-14=6-14=-8\\\\2-10x=2-10(1)=2-10=-8\\\\CORRECT[/tex]
Answer:
x=1
Step-by-step explanation:
6x-14=2-10x
First step is to add 10x to each side
6x+10x-14=2-10x+10x
16x-14=2
Now add 14 to each side
16x-14+14=2+14
16x=16
Divide each side by 16 to isolate x
16x/16 =16/16
x =1
