Given the following equation:
[tex]4x-3+5=2x+7-8x[/tex]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:
[tex]4x+2=7-6x[/tex]3. Now you can apply the Addition property of equality by adding "6x" to both sides of the equation:
[tex]\begin{gathered} 4x+2+(6x)=7-6x+(6x) \\ 10x+2=7 \end{gathered}[/tex]4. Apply the Subtraction property of equality subtracting 2 from both sides of the equation:
[tex]\begin{gathered} 10x+2-(2)=7-(2) \\ 10x=5 \end{gathered}[/tex]5. Finally, you can apply the Division property of equality by dividing both sides of the equation by 10. Then:
[tex]\begin{gathered} \frac{10x}{10}=\frac{5}{10} \\ \\ x=\frac{1}{2} \end{gathered}[/tex]The solution is:
[tex]x=\frac{1}{2}[/tex]