Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Given the following question:
[tex]2(x+5)=3(x+6)[/tex]
To find the answer we need to expand the equation by using the distribution property, use inverse operations by subtracting or adding on both sides, and of course simplify if needed.
[tex]2(x+5)=3(x+6)[/tex]
[tex]2(x+5)=2x+10[/tex]
[tex]3(x+6)=3x+18[/tex]
[tex]2x+10=3x+18[/tex]
[tex]10-10=0[/tex]
[tex]18-10=8[/tex]
[tex]2x=3x+8[/tex]
[tex]3x-3x=0[/tex]
[tex]2x-3x=-x[/tex]
[tex]-x=8[/tex]
[tex]-x\div-x=x[/tex]
[tex]8\div-1=-8[/tex]
[tex]x=-8[/tex]
Your answer is "x = -8."
Hope this helps.
