Question

What is the solution for x in the equation 4x-3+5=2x+7-8x

Answer 1

Given the following equation:

`4x-3+5=2x+7-8x​`

You can follow the steps shown below in order to solve for "x" and find the solution:

1. Add like terms on the left side of the equation.

2. Add like terms of the right side of the equation.

Then:

`4x+2=7-6x​`

3. Now you can apply the Addition property of equality by adding "6x" to both sides of the equation:

`\begin{gathered} 4x+2+(6x​)=7-6x​+(6x​) \\ 10x+2=7 \end{gathered}`

4. Apply the Subtraction property of equality subtracting 2 from both sides of the equation:

`\begin{gathered} 10x+2-(2)=7-(2) \\ 10x=5 \end{gathered}`

5. Finally, you can apply the Division property of equality by dividing both sides of the equation by 10. Then:

`\begin{gathered} (10x)/(10)=(5)/(10) \\ \\ x=(1)/(2) \end{gathered}`

The solution is:

`x=(1)/(2)`