Question

I want you to help me solve the variable equations of questions 3

Answer 1

`\boxed{\mathtt{1) \ x=4}}`

`\boxed{\mathtt{2) \ x=2}}`

`\boxed{\mathtt{3) \ x=-24}}`

Explanation:

`\textsf{For these problems, we are asked to solve for x in each equation.}`

`\textsf{We should use similar steps for each of them.}`

`\large\underline{\textsf{For Number 1:}}`

`\textsf{We should first begin by adding 2 to both sides of the equation.}`

`\mathtt{8x=32}`

`\textsf{Now, divide by 8.}`

`\boxed{\mathtt{1) \ x=4}}`

`\large\underline{\textsf{For Number 2:}}`

`\textsf{Let's begin by subtracting 5 from both sides of the equation.}`

`\mathtt{-x=-2}`

`\textsf{Now, divide by -1.}`

`\boxed{\mathtt{2) \ x=2}}`

`\large\underline{\textsf{For Number 3:}}`

`\textsf{Beginning Number 3, let's multiply by -2 to both sides of the equation.}`

`\mathtt{x+8=-16}`

`\textsf{Now, subtract 8 from both sides of the equation.}`

`\boxed{\mathtt{3) \ x=-24}}`

Answer 2

`\huge\boxed{\sf x = -24}`

Explanation:

Given equation:

`\displaystyle -(1)/(2) x - 4 =8\\\\Add \ 4 \ to \ both \ sides\\\\-(1)/(2) x = 8+4\\\\-(1)/(2) x = 12\\\\Multiply \ both \ sides \ by \ -2\\\\-(1)/(2) x * \ -2 = 12 * -2\\\\\boxed{x = -24}\\\\\rule[225]{225}{2}`