Answer: [tex]x=-12.8[/tex]
Step-by-step explanation:
Given the equation [tex]\frac{5x}{8}+10=2[/tex], you need to solve for "x":
Apply the Subtraction property of equality and subtract 10 from both sides of the equation:
[tex]\frac{5x}{8}+10-10=2-10[/tex]
[tex]\frac{5x}{8}=-8[/tex]
Apply the Multiplication property of equality and multiply both sides of the equation by 8:
[tex](\frac{5x}{8})(8)=-8(8)[/tex]
[tex]5x=-64[/tex]
Apply the Division property of equality and divide both sides of the equation by 5:
[tex]\frac{5x}{5}=\frac{-64}{5}[/tex]
[tex]x=-12.8[/tex]