Question

What is the value of x in the equation 2.5 x + 10 = x- 0.5?

Answer 1

`=-7`

Explanation:

`2.5x+10=x-0.5\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.5x\cdot \:10+10\cdot \:10=x\cdot \:10-0.5\cdot \:10\\Refine\\25x+100=10x-5\\\mathrm{Subtract\:}100\mathrm{\:from\:both\:sides}\\25x+100-100=10x-5-100\\Simplify\\25x=10x-105\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\25x-10x=10x-105-10x\\Simplify\\15x=-105\\\mathrm{Divide\:both\:sides\:by\:}15\\(15x)/(15)=(-105)/(15)\\Simplify\\(15x)/(15)=(-105)/(15)\\\mathrm{Simplify\:}(15x)/(15):\quad x\\(15x)/(15)`

`\mathrm{Divide\:the\:numbers:}\:(15)/(15)=1\\=x\\\mathrm{Simplify\:}(-105)/(15):\quad -7\\(-105)/(15)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)\\=-(105)/(15)\\\mathrm{Divide\:the\:numbers:}\:(105)/(15)=7\\=-7`

Answer 2

-7

Explanation:

2.5x+10=x−0.5

Step 1: Subtract x from both sides.

2.5x+10−x=x−0.5−x

1.5x+10=−0.5

Step 2: Subtract 10 from both sides.

1.5x+10−10=−0.5−10

1.5x=−10.5

Step 3: Divide both sides by 1.5.

1.5x

1.5

=

−10.5

1.5