Question

24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3

Answer 1

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer 2

`x=-1`

Explanation:

`x-2\left(x-4\right)=5\left(2x+4\right)-3`

`-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8`

`3x-2x+8=5\left(2x+4\right)-3`

`\mathrm{Combine\: like\: terms}`

`x+8=5\left(2x+4\right)-3`

`\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17`

`x+8=10x+17`

`\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}`

`x+8-8=10x+17-8`

`x=10x+9`

`\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}`

`x-10x=10x+9-10x`

`-9x=9`

`\mathrm{Divide\:both\:sides\:by\:}-9`

`(-9x)/(-9)=(9)/(-9)`

`\bold{x=-1}`