Question

Solve for x. Give an exact answer. 0.5(5 7x) = 8 - (4x + 6)

Answer 1

x=-1

Step-by-step explanation

`\begin{gathered} 0.5(5-7x)=8-(4x+6) \\ \end{gathered}`

Step 1

apply distributive property

`\begin{gathered} 0.5(5-7x)=8-(4x+6) \\ 0.5\cdot5-0.5\cdot7x=8-4x-6 \\ 2.5-3.5x=2-4x \end{gathered}`

Step 2

add 4x in both sides

`\begin{gathered} 2.5-3.5x=2-4x \\ 2.5-3.5x+4x=2-4x+4x \\ \text{2}.5+0.5x=2 \end{gathered}`

Step 3

subtract 2.5 in both sides

`\begin{gathered} 2.5+0.5x=2 \\ 2.5+0.5x-2.5=2-2.5 \\ 0.5x=-0.5 \end{gathered}`

Step 4

finally, divide both sides by 0.5

`\begin{gathered} (0.5x)/(0.5)=(-0.5)/(0.5) \\ x=-1 \end{gathered}`

I hope this helps you