We are given:2x + 5 - 3x = 8(x + 1)We can start with several things. First, we can combine the x terms on the left side of the equation, and apply the distributive property on the right side of the equation.5 - x = 8x + 8Now, we can add x to both sides, and subtract 8 from both sides to isolate the variable.5 - x = 8x + 8-8 + x + x -8We end up with:9x = -3By dividing both sides by 9, we get x = [tex]-\frac{1}{3}[/tex].If you want to check your answer, just plug x in!2([tex]-\frac{1}{3}[/tex]) + 5 - 3([tex]-\frac{1}{3}[/tex]) = 8([tex]-\frac{1}{3}[/tex] + 1)[tex]-\frac{2}{3}[/tex] + 5 + 1 = [tex]-\frac{8}{3}[/tex] + 8[tex]-\frac{2}{3}[/tex] + [tex]\frac{18}{3}[/tex] = [tex]-\frac{8}{3}[/tex] + [tex]\frac{24}{3}[/tex][tex]\frac{16}{3}[/tex] = [tex]\frac{16}{3}[/tex]As you can see, [tex]\frac{16}{3}[/tex] = [tex]\frac{16}{3}[/tex] as a result of having x = [tex]-\frac{1}{3}[/tex].