Question

Hello, I need help with this equation as I am terrible at math. What is the solution to this equation?

Answer 1

`x=3`

Step-by-step explanation

remember the addition Property of Equality states If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

`3x+4-x=5x-10-x`

Step 1

add similar terms

`\begin{gathered} 3x+4-x=5x-10-x \\ 2x-4=4x-10 \end{gathered}`

Step 2

`\begin{gathered} 2x-4=4x-10 \\ \text{subtract 2x in both sides} \\ 2x-4-2x=4x-10-2x \\ -4=2x-10 \end{gathered}`

Step 3

`\begin{gathered} -4=2x-10 \\ \text{add 10 in both sides} \\ -4+10=2x-10+10 \\ 6=2x \end{gathered}`

Step 4

finally, divide both sides by 2

`\begin{gathered} (6)/(2)=(2x)/(2) \\ 3=x \\ x=3 \end{gathered}`

I hope this helps you