Question

1.) 4-t=3(t-1)-5 Solve?

2.) 8x-2 (x+1)=2 (3x-1) Solve?
3.) 3 (c-2)=2 (c-6) Solve?
4.) 0.5 (m+4)=3 (m-1) Solve?

Answer 1

`1)\\4-t=3(t-1)-5\ \ \ |\text{use distributive property}\\\\4-t=3t-3-5\\\\4-t=3t-8\ \ \ \ |-4\\\\-t=3t-12\ \ \ \ |-3t\\\\-4t=-12\ \ \ \ |:(-4)\\\\\boxed{t=3}`

`2)\\8x-2 (x+1)=2 (3x-1)\ \ \ \ |\text{use distributive property}\\\\8x-2x-2=6x-2\\\\6x-2=6x-2\ \ \ \ |-6x\\\\-2=-2\ \ \ TRUE\\\\Answer:\ all\ real\ numbers\ (x\in\mathbb{R})`

`3)\\3 (c-2)=2 (c-6)\ \ \ \ \ |\text{use distributive property}\\\\3c-6=2c-12\ \ \ \ |+6\\\\3c=2c-6\ \ \ \ |-2c\\\\\boxed{c=-6}`

`4)\\0.5 (m+4)=3 (m-1)\ \ \ \ |\text{use distributive property}\\\\0.5m+2=3m-3\ \ \ \ |-2\\\\0.5m=3m-5\ \ \ \ |-3m\\\\-2.5m=-5\ \ \ \ |:(-2.5)\\\\\boxed{m=2}`