Answer:
[tex]x=-\frac{16}{13}[/tex]
Step-by-step explanation:
[tex]-2(x-8)=18-3(5x+6)[/tex]
Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:
[tex]-2x+16=18-15x-18[/tex]
Combine like terms:
[tex]-2x+16=-15x[/tex]
Subtract [tex]16[/tex] from both sides of the equation:
[tex]-2x=-15x-16[/tex]
Add [tex]15x[/tex] to both sides of the equation:
[tex]-13x=16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:
[tex]x=-\frac{16}{13}[/tex]
