Answer:
[tex]4\left(2x+7\right)-3\left(x+5\right)=5x+13[/tex]
Step-by-step explanation:
Given the expression
[tex]4\left(2x+7\right)-3\left(x+5\right)[/tex]
Expand and simplify the expression
[tex]4\left(2x+7\right)-3\left(x+5\right)[/tex]
Expand 4(2x + 7) = 8x + 28
[tex]4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)[/tex]
Expand -3(x + 5) = -3x - 15
[tex]=8x+28-3x-15[/tex]
Group like terms
[tex]=8x-3x+28-15[/tex]
Add similar elements: 8x - 3x = 5x
[tex]=5x+28-15[/tex]
Simplify
[tex]=5x+13[/tex]
Therefore, we conclude that:
[tex]4\left(2x+7\right)-3\left(x+5\right)=5x+13[/tex]
