Solve for x - \sf 5x-6=3x-8

Question

Solve for x -

`\sf 5x-6=3x-8`

Answer 1

`x=-1`

Explanation:

`\textsf{Given equation}:`

`5x-6=3x-8`

`\textsf{Subtract $3x$ from both sides}:`

`\implies 5x-6-3x=3x-8-3x`

`\implies 2x-6=-8`

`\textsf{Add $6$ to both sides}:`

`\implies 2x-6+6=-8+6`

`\implies 2x=-2`

`\textsf{Divide both sides by $2$}:`

`\implies (2x)/(2)=(-2)/(2)`

`\implies x=-1`