Question

Solve the equation 5(x-2)=7(x+4) for x

Answer 1

`\boxed{\bold{x=-19}}`

Step By Step Explanation:

Expand
`\bold{5\left(x-2\right): \ 5x-10}`

Expand
`\bold{7\left(x+4\right): \ 7x+28}`

`\bold{5x-10=7x+28}`

Add 10 To Both Sides

`\bold{5x=7x+38}`

Subtract 7x From Both Sides

`\bold{5x-7x=7x+38-7x}`

Simplify

`\bold{-2x=38}`

Divide Both Sides By -2

`\bold{(-2x)/(-2)=(38)/(-2)}`

Simplify

`\bold{x=-19}`