Question

-2(1-4x)=3x+8find solution

Answer 1

x = 2

Step-by-step explanation:
`-2\mleft(1-4x\mright)=3x+8`

Expanding the expression:

`\begin{gathered} -2(1)\text{ -2(-4x) = 3x + 8} \\ -2\text{ + 8x = 3x + 8} \end{gathered}`

collect like terms by adding 2 to both sides:

`\begin{gathered} -2\text{ + 2 + 8x = 3x + 8 + 2} \\ 8x\text{ = 3x + 10} \\ \\ \text{subtract 3x from both sides:} \\ 8x\text{ - 3x = 10} \\ 5x\text{ = 10} \end{gathered}`
`\begin{gathered} \text{divide both sides by 5:} \\ (5x)/(5)\text{ = }(10)/(5) \\ x\text{ = 2} \end{gathered}`