Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
We have been given an equation [tex]5x+2(x-4)=5x+x-10[/tex]. We are asked to solve our given equation.
First of all, we will combine like terms on right side of equation.
[tex]5x+2(x-4)=6x-10[/tex]
Using distributive property, we will get:
[tex]5x+2*x-2*4=6x-10[/tex]
[tex]5x+2x-8=6x-10[/tex]
[tex]7x-8=6x-10[/tex]
Subtract 6x from both sides:
[tex]7x-6x-8=6x-6x-10[/tex]
[tex]x-8=-10[/tex]
Add 8 on both sides:
[tex]x-8+8=-10+8[/tex]
[tex]x=-2[/tex]
Therefore, the solution for our given equation is [tex]x=-2[/tex].
